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Finding the Fourth Proportional to 25,054.38, 37,585.02 and 8,419.17

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Solution

The fourth proportional to 25,054.38, 37,585.02 and 8,419.17 is: 12,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,054.38 : 37,585.02 = 8,419.17 : x
  2. Step 2: Convert to fraction form
    25,054.38/37,585.02 = 8,419.17/x
  3. Step 3: Cross multiply
    25,054.38x = 37,585.02 × 8,419.17
  4. Step 4: Simplify right side
    25,054.38x = 316,434,672.83
  5. Step 5: Solve for x
    x = 316,434,672.83/25,054.38
  6. Step 6: Final answer
    x = 12,629.91

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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.