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Finding the Fourth Proportional to 24,535.50, 36,808.28 and 9,542.27

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Solution

The fourth proportional to 24,535.50, 36,808.28 and 9,542.27 is: 14,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,535.50 : 36,808.28 = 9,542.27 : x
  2. Step 2: Convert to fraction form
    24,535.50/36,808.28 = 9,542.27/x
  3. Step 3: Cross multiply
    24,535.50x = 36,808.28 × 9,542.27
  4. Step 4: Simplify right side
    24,535.50x = 351,234,314.24
  5. Step 5: Solve for x
    x = 351,234,314.24/24,535.50
  6. Step 6: Final answer
    x = 14,315.35

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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.