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Finding the Fourth Proportional to 10,901.30, 16,351.95 and 9,691.70

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Solution

The fourth proportional to 10,901.30, 16,351.95 and 9,691.70 is: 14,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.30 : 16,351.95 = 9,691.70 : x
  2. Step 2: Convert to fraction form
    10,901.30/16,351.95 = 9,691.70/x
  3. Step 3: Cross multiply
    10,901.30x = 16,351.95 × 9,691.70
  4. Step 4: Simplify right side
    10,901.30x = 158,478,193.82
  5. Step 5: Solve for x
    x = 158,478,193.82/10,901.30
  6. Step 6: Final answer
    x = 14,537.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.