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Finding the Fourth Proportional to 23,726.43, 35,593.92 and 7,929.90

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Solution

The fourth proportional to 23,726.43, 35,593.92 and 7,929.90 is: 11,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726.43 : 35,593.92 = 7,929.90 : x
  2. Step 2: Convert to fraction form
    23,726.43/35,593.92 = 7,929.90/x
  3. Step 3: Cross multiply
    23,726.43x = 35,593.92 × 7,929.90
  4. Step 4: Simplify right side
    23,726.43x = 282,256,226.21
  5. Step 5: Solve for x
    x = 282,256,226.21/23,726.43
  6. Step 6: Final answer
    x = 11,896.28

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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.