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Finding the Fourth Proportional to 12,034.86, 18,053.38 and 3,715

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Solution

The fourth proportional to 12,034.86, 18,053.38 and 3,715 is: 5,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.86 : 18,053.38 = 3,715 : x
  2. Step 2: Convert to fraction form
    12,034.86/18,053.38 = 3,715/x
  3. Step 3: Cross multiply
    12,034.86x = 18,053.38 × 3,715
  4. Step 4: Simplify right side
    12,034.86x = 67,068,306.70
  5. Step 5: Solve for x
    x = 67,068,306.70/12,034.86
  6. Step 6: Final answer
    x = 5,572.84

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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.