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Finding the Fourth Proportional to 25,882.30, 38,831.64 and 9,241.96

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Solution

The fourth proportional to 25,882.30, 38,831.64 and 9,241.96 is: 13,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.30 : 38,831.64 = 9,241.96 : x
  2. Step 2: Convert to fraction form
    25,882.30/38,831.64 = 9,241.96/x
  3. Step 3: Cross multiply
    25,882.30x = 38,831.64 × 9,241.96
  4. Step 4: Simplify right side
    25,882.30x = 358,880,463.61
  5. Step 5: Solve for x
    x = 358,880,463.61/25,882.30
  6. Step 6: Final answer
    x = 13,865.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.