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Finding the Fourth Proportional to 25,507.80, 38,261.70 and 9,915.30

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Solution

The fourth proportional to 25,507.80, 38,261.70 and 9,915.30 is: 14,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,507.80 : 38,261.70 = 9,915.30 : x
  2. Step 2: Convert to fraction form
    25,507.80/38,261.70 = 9,915.30/x
  3. Step 3: Cross multiply
    25,507.80x = 38,261.70 × 9,915.30
  4. Step 4: Simplify right side
    25,507.80x = 379,376,234.01
  5. Step 5: Solve for x
    x = 379,376,234.01/25,507.80
  6. Step 6: Final answer
    x = 14,872.95

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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.