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Finding the Fourth Proportional to 10,426.92, 15,531.78 and 9,872.88

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Solution

The fourth proportional to 10,426.92, 15,531.78 and 9,872.88 is: 14,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.92 : 15,531.78 = 9,872.88 : x
  2. Step 2: Convert to fraction form
    10,426.92/15,531.78 = 9,872.88/x
  3. Step 3: Cross multiply
    10,426.92x = 15,531.78 × 9,872.88
  4. Step 4: Simplify right side
    10,426.92x = 153,343,400.13
  5. Step 5: Solve for x
    x = 153,343,400.13/10,426.92
  6. Step 6: Final answer
    x = 14,706.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.