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Finding the Fourth Proportional to 15,212.56, 22,831.80 and 8,963.42

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Solution

The fourth proportional to 15,212.56, 22,831.80 and 8,963.42 is: 13,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212.56 : 22,831.80 = 8,963.42 : x
  2. Step 2: Convert to fraction form
    15,212.56/22,831.80 = 8,963.42/x
  3. Step 3: Cross multiply
    15,212.56x = 22,831.80 × 8,963.42
  4. Step 4: Simplify right side
    15,212.56x = 204,651,012.76
  5. Step 5: Solve for x
    x = 204,651,012.76/15,212.56
  6. Step 6: Final answer
    x = 13,452.77

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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.