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Finding the Fourth Proportional to 12,098.31, 16,697.49 and 7,385.33

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Solution

The fourth proportional to 12,098.31, 16,697.49 and 7,385.33 is: 10,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.31 : 16,697.49 = 7,385.33 : x
  2. Step 2: Convert to fraction form
    12,098.31/16,697.49 = 7,385.33/x
  3. Step 3: Cross multiply
    12,098.31x = 16,697.49 × 7,385.33
  4. Step 4: Simplify right side
    12,098.31x = 123,316,473.82
  5. Step 5: Solve for x
    x = 123,316,473.82/12,098.31
  6. Step 6: Final answer
    x = 10,192.87

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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.