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Finding the Fourth Proportional to 39,098.70, 58,648.14 and 9,516.48

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Solution

The fourth proportional to 39,098.70, 58,648.14 and 9,516.48 is: 14,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,098.70 : 58,648.14 = 9,516.48 : x
  2. Step 2: Convert to fraction form
    39,098.70/58,648.14 = 9,516.48/x
  3. Step 3: Cross multiply
    39,098.70x = 58,648.14 × 9,516.48
  4. Step 4: Simplify right side
    39,098.70x = 558,123,851.35
  5. Step 5: Solve for x
    x = 558,123,851.35/39,098.70
  6. Step 6: Final answer
    x = 14,274.74

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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.