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Finding the Fourth Proportional to 10,139.82, 15,188.54 and 8,154.71

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Solution

The fourth proportional to 10,139.82, 15,188.54 and 8,154.71 is: 12,215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.82 : 15,188.54 = 8,154.71 : x
  2. Step 2: Convert to fraction form
    10,139.82/15,188.54 = 8,154.71/x
  3. Step 3: Cross multiply
    10,139.82x = 15,188.54 × 8,154.71
  4. Step 4: Simplify right side
    10,139.82x = 123,858,197.38
  5. Step 5: Solve for x
    x = 123,858,197.38/10,139.82
  6. Step 6: Final answer
    x = 12,215.03

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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.