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Finding the Fourth Proportional to 25,565.33, 38,348.21 and 9,766.13

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Solution

The fourth proportional to 25,565.33, 38,348.21 and 9,766.13 is: 14,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,565.33 : 38,348.21 = 9,766.13 : x
  2. Step 2: Convert to fraction form
    25,565.33/38,348.21 = 9,766.13/x
  3. Step 3: Cross multiply
    25,565.33x = 38,348.21 × 9,766.13
  4. Step 4: Simplify right side
    25,565.33x = 374,513,436.80
  5. Step 5: Solve for x
    x = 374,513,436.80/25,565.33
  6. Step 6: Final answer
    x = 14,649.27

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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.