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Finding the Fourth Proportional to 25,685.52, 38,529.96 and 7,914

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Solution

The fourth proportional to 25,685.52, 38,529.96 and 7,914 is: 11,871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685.52 : 38,529.96 = 7,914 : x
  2. Step 2: Convert to fraction form
    25,685.52/38,529.96 = 7,914/x
  3. Step 3: Cross multiply
    25,685.52x = 38,529.96 × 7,914
  4. Step 4: Simplify right side
    25,685.52x = 304,926,103.44
  5. Step 5: Solve for x
    x = 304,926,103.44/25,685.52
  6. Step 6: Final answer
    x = 11,871.52

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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.