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Finding the Fourth Proportional to 25,006.71, 37,509.35 and 6,286.71

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Solution

The fourth proportional to 25,006.71, 37,509.35 and 6,286.71 is: 9,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,006.71 : 37,509.35 = 6,286.71 : x
  2. Step 2: Convert to fraction form
    25,006.71/37,509.35 = 6,286.71/x
  3. Step 3: Cross multiply
    25,006.71x = 37,509.35 × 6,286.71
  4. Step 4: Simplify right side
    25,006.71x = 235,810,374.30
  5. Step 5: Solve for x
    x = 235,810,374.30/25,006.71
  6. Step 6: Final answer
    x = 9,429.88

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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.