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Finding the Fourth Proportional to 25,497.23, 38,252.76 and 7,727.17

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Solution

The fourth proportional to 25,497.23, 38,252.76 and 7,727.17 is: 11,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.23 : 38,252.76 = 7,727.17 : x
  2. Step 2: Convert to fraction form
    25,497.23/38,252.76 = 7,727.17/x
  3. Step 3: Cross multiply
    25,497.23x = 38,252.76 × 7,727.17
  4. Step 4: Simplify right side
    25,497.23x = 295,585,491.10
  5. Step 5: Solve for x
    x = 295,585,491.10/25,497.23
  6. Step 6: Final answer
    x = 11,592.85

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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.