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Finding the Fourth Proportional to 25,591.84, 38,338.52 and 15,702.24

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Solution

The fourth proportional to 25,591.84, 38,338.52 and 15,702.24 is: 23,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,591.84 : 38,338.52 = 15,702.24 : x
  2. Step 2: Convert to fraction form
    25,591.84/38,338.52 = 15,702.24/x
  3. Step 3: Cross multiply
    25,591.84x = 38,338.52 × 15,702.24
  4. Step 4: Simplify right side
    25,591.84x = 602,000,642.28
  5. Step 5: Solve for x
    x = 602,000,642.28/25,591.84
  6. Step 6: Final answer
    x = 23,523.15

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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.