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Finding the Fourth Proportional to 25,054.39, 37,580.27 and 8,414.76

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Solution

The fourth proportional to 25,054.39, 37,580.27 and 8,414.76 is: 12,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,054.39 : 37,580.27 = 8,414.76 : x
  2. Step 2: Convert to fraction form
    25,054.39/37,580.27 = 8,414.76/x
  3. Step 3: Cross multiply
    25,054.39x = 37,580.27 × 8,414.76
  4. Step 4: Simplify right side
    25,054.39x = 316,228,952.79
  5. Step 5: Solve for x
    x = 316,228,952.79/25,054.39
  6. Step 6: Final answer
    x = 12,621.70

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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.