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Finding the Fourth Proportional to 25,578.28, 38,348.16 and 17,234.88

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Solution

The fourth proportional to 25,578.28, 38,348.16 and 17,234.88 is: 25,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578.28 : 38,348.16 = 17,234.88 : x
  2. Step 2: Convert to fraction form
    25,578.28/38,348.16 = 17,234.88/x
  3. Step 3: Cross multiply
    25,578.28x = 38,348.16 × 17,234.88
  4. Step 4: Simplify right side
    25,578.28x = 660,925,935.82
  5. Step 5: Solve for x
    x = 660,925,935.82/25,578.28
  6. Step 6: Final answer
    x = 25,839.34

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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.