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Finding the Fourth Proportional to 25,704.88, 38,540.28 and 14,616.80

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Solution

The fourth proportional to 25,704.88, 38,540.28 and 14,616.80 is: 21,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704.88 : 38,540.28 = 14,616.80 : x
  2. Step 2: Convert to fraction form
    25,704.88/38,540.28 = 14,616.80/x
  3. Step 3: Cross multiply
    25,704.88x = 38,540.28 × 14,616.80
  4. Step 4: Simplify right side
    25,704.88x = 563,335,564.70
  5. Step 5: Solve for x
    x = 563,335,564.70/25,704.88
  6. Step 6: Final answer
    x = 21,915.51

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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.