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Finding the Fourth Proportional to 25,129.17, 37,697.85 and 8,490.20

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Solution

The fourth proportional to 25,129.17, 37,697.85 and 8,490.20 is: 12,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,129.17 : 37,697.85 = 8,490.20 : x
  2. Step 2: Convert to fraction form
    25,129.17/37,697.85 = 8,490.20/x
  3. Step 3: Cross multiply
    25,129.17x = 37,697.85 × 8,490.20
  4. Step 4: Simplify right side
    25,129.17x = 320,062,097.58
  5. Step 5: Solve for x
    x = 320,062,097.58/25,129.17
  6. Step 6: Final answer
    x = 12,736.68

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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.