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Finding the Fourth Proportional to 10,342.70, 15,397.06 and 10,281.19

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Solution

The fourth proportional to 10,342.70, 15,397.06 and 10,281.19 is: 15,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.70 : 15,397.06 = 10,281.19 : x
  2. Step 2: Convert to fraction form
    10,342.70/15,397.06 = 10,281.19/x
  3. Step 3: Cross multiply
    10,342.70x = 15,397.06 × 10,281.19
  4. Step 4: Simplify right side
    10,342.70x = 158,299,996.61
  5. Step 5: Solve for x
    x = 158,299,996.61/10,342.70
  6. Step 6: Final answer
    x = 15,305.49

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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.