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Finding the Fourth Proportional to 12,762,978.53, 17,619,414.32 and 9,855,843.17

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Solution

The fourth proportional to 12,762,978.53, 17,619,414.32 and 9,855,843.17 is: 13,606,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762,978.53 : 17,619,414.32 = 9,855,843.17 : x
  2. Step 2: Convert to fraction form
    12,762,978.53/17,619,414.32 = 9,855,843.17/x
  3. Step 3: Cross multiply
    12,762,978.53x = 17,619,414.32 × 9,855,843.17
  4. Step 4: Simplify right side
    12,762,978.53x = 173,654,184,285,172.19
  5. Step 5: Solve for x
    x = 173,654,184,285,172.19/12,762,978.53
  6. Step 6: Final answer
    x = 13,606,086.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.