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Finding the Fourth Proportional to 25,397.52, 38,050.20 and 19,914

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Solution

The fourth proportional to 25,397.52, 38,050.20 and 19,914 is: 29,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,397.52 : 38,050.20 = 19,914 : x
  2. Step 2: Convert to fraction form
    25,397.52/38,050.20 = 19,914/x
  3. Step 3: Cross multiply
    25,397.52x = 38,050.20 × 19,914
  4. Step 4: Simplify right side
    25,397.52x = 757,731,682.80
  5. Step 5: Solve for x
    x = 757,731,682.80/25,397.52
  6. Step 6: Final answer
    x = 29,834.87

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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.