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Finding the Fourth Proportional to 25,138.14, 37,712.61 and 8,497.35

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Solution

The fourth proportional to 25,138.14, 37,712.61 and 8,497.35 is: 12,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,138.14 : 37,712.61 = 8,497.35 : x
  2. Step 2: Convert to fraction form
    25,138.14/37,712.61 = 8,497.35/x
  3. Step 3: Cross multiply
    25,138.14x = 37,712.61 × 8,497.35
  4. Step 4: Simplify right side
    25,138.14x = 320,457,246.58
  5. Step 5: Solve for x
    x = 320,457,246.58/25,138.14
  6. Step 6: Final answer
    x = 12,747.85

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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.