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Finding the Fourth Proportional to 14,539.44, 21,796.44 and 5,178

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Solution

The fourth proportional to 14,539.44, 21,796.44 and 5,178 is: 7,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.44 : 21,796.44 = 5,178 : x
  2. Step 2: Convert to fraction form
    14,539.44/21,796.44 = 5,178/x
  3. Step 3: Cross multiply
    14,539.44x = 21,796.44 × 5,178
  4. Step 4: Simplify right side
    14,539.44x = 112,861,966.32
  5. Step 5: Solve for x
    x = 112,861,966.32/14,539.44
  6. Step 6: Final answer
    x = 7,762.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.