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Finding the Fourth Proportional to 25,711.40, 38,565.48 and 8,193.80

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Solution

The fourth proportional to 25,711.40, 38,565.48 and 8,193.80 is: 12,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,711.40 : 38,565.48 = 8,193.80 : x
  2. Step 2: Convert to fraction form
    25,711.40/38,565.48 = 8,193.80/x
  3. Step 3: Cross multiply
    25,711.40x = 38,565.48 × 8,193.80
  4. Step 4: Simplify right side
    25,711.40x = 315,997,830.02
  5. Step 5: Solve for x
    x = 315,997,830.02/25,711.40
  6. Step 6: Final answer
    x = 12,290.18

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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.