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Finding the Fourth Proportional to 24,730.56, 37,086.12 and 9,139.68

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Solution

The fourth proportional to 24,730.56, 37,086.12 and 9,139.68 is: 13,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730.56 : 37,086.12 = 9,139.68 : x
  2. Step 2: Convert to fraction form
    24,730.56/37,086.12 = 9,139.68/x
  3. Step 3: Cross multiply
    24,730.56x = 37,086.12 × 9,139.68
  4. Step 4: Simplify right side
    24,730.56x = 338,955,269.24
  5. Step 5: Solve for x
    x = 338,955,269.24/24,730.56
  6. Step 6: Final answer
    x = 13,705.93

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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.