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Finding the Fourth Proportional to 25,154.38, 37,705.11 and 8,498.62

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Solution

The fourth proportional to 25,154.38, 37,705.11 and 8,498.62 is: 12,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,154.38 : 37,705.11 = 8,498.62 : x
  2. Step 2: Convert to fraction form
    25,154.38/37,705.11 = 8,498.62/x
  3. Step 3: Cross multiply
    25,154.38x = 37,705.11 × 8,498.62
  4. Step 4: Simplify right side
    25,154.38x = 320,441,401.95
  5. Step 5: Solve for x
    x = 320,441,401.95/25,154.38
  6. Step 6: Final answer
    x = 12,738.99

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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.