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Finding the Fourth Proportional to 10,675.38, 15,942.99 and 9,098.58

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Solution

The fourth proportional to 10,675.38, 15,942.99 and 9,098.58 is: 13,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.38 : 15,942.99 = 9,098.58 : x
  2. Step 2: Convert to fraction form
    10,675.38/15,942.99 = 9,098.58/x
  3. Step 3: Cross multiply
    10,675.38x = 15,942.99 × 9,098.58
  4. Step 4: Simplify right side
    10,675.38x = 145,058,524.46
  5. Step 5: Solve for x
    x = 145,058,524.46/10,675.38
  6. Step 6: Final answer
    x = 13,588.14

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