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Finding the Fourth Proportional to 24,551.76, 36,823.84 and 13,463.92

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Solution

The fourth proportional to 24,551.76, 36,823.84 and 13,463.92 is: 20,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,551.76 : 36,823.84 = 13,463.92 : x
  2. Step 2: Convert to fraction form
    24,551.76/36,823.84 = 13,463.92/x
  3. Step 3: Cross multiply
    24,551.76x = 36,823.84 × 13,463.92
  4. Step 4: Simplify right side
    24,551.76x = 495,793,235.85
  5. Step 5: Solve for x
    x = 495,793,235.85/24,551.76
  6. Step 6: Final answer
    x = 20,193.80

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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.