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Finding the Fourth Proportional to 25,724.88, 38,599.38 and 9,097.47

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Solution

The fourth proportional to 25,724.88, 38,599.38 and 9,097.47 is: 13,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,724.88 : 38,599.38 = 9,097.47 : x
  2. Step 2: Convert to fraction form
    25,724.88/38,599.38 = 9,097.47/x
  3. Step 3: Cross multiply
    25,724.88x = 38,599.38 × 9,097.47
  4. Step 4: Simplify right side
    25,724.88x = 351,156,701.57
  5. Step 5: Solve for x
    x = 351,156,701.57/25,724.88
  6. Step 6: Final answer
    x = 13,650.47

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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.