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Finding the Fourth Proportional to 15,882.81, 23,825.07 and 4,195.71

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Solution

The fourth proportional to 15,882.81, 23,825.07 and 4,195.71 is: 6,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.81 : 23,825.07 = 4,195.71 : x
  2. Step 2: Convert to fraction form
    15,882.81/23,825.07 = 4,195.71/x
  3. Step 3: Cross multiply
    15,882.81x = 23,825.07 × 4,195.71
  4. Step 4: Simplify right side
    15,882.81x = 99,963,084.45
  5. Step 5: Solve for x
    x = 99,963,084.45/15,882.81
  6. Step 6: Final answer
    x = 6,293.79

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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.