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Finding the Fourth Proportional to 15,737.01, 21,714.77 and 8,929.97

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Solution

The fourth proportional to 15,737.01, 21,714.77 and 8,929.97 is: 12,322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.01 : 21,714.77 = 8,929.97 : x
  2. Step 2: Convert to fraction form
    15,737.01/21,714.77 = 8,929.97/x
  3. Step 3: Cross multiply
    15,737.01x = 21,714.77 × 8,929.97
  4. Step 4: Simplify right side
    15,737.01x = 193,912,091.43
  5. Step 5: Solve for x
    x = 193,912,091.43/15,737.01
  6. Step 6: Final answer
    x = 12,322.04

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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.