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Finding the Fourth Proportional to 14,942.40, 22,388.40 and 11,810.40

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Solution

The fourth proportional to 14,942.40, 22,388.40 and 11,810.40 is: 17,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,942.40 : 22,388.40 = 11,810.40 : x
  2. Step 2: Convert to fraction form
    14,942.40/22,388.40 = 11,810.40/x
  3. Step 3: Cross multiply
    14,942.40x = 22,388.40 × 11,810.40
  4. Step 4: Simplify right side
    14,942.40x = 264,415,959.36
  5. Step 5: Solve for x
    x = 264,415,959.36/14,942.40
  6. Step 6: Final answer
    x = 17,695.68

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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.