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Finding the Fourth Proportional to 12,098.57, 16,697.84 and 7,385.59

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Solution

The fourth proportional to 12,098.57, 16,697.84 and 7,385.59 is: 10,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.57 : 16,697.84 = 7,385.59 : x
  2. Step 2: Convert to fraction form
    12,098.57/16,697.84 = 7,385.59/x
  3. Step 3: Cross multiply
    12,098.57x = 16,697.84 × 7,385.59
  4. Step 4: Simplify right side
    12,098.57x = 123,323,279.71
  5. Step 5: Solve for x
    x = 123,323,279.71/12,098.57
  6. Step 6: Final answer
    x = 10,193.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.