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Finding the Fourth Proportional to 24,503.09, 36,766.78 and 9,711.68

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Solution

The fourth proportional to 24,503.09, 36,766.78 and 9,711.68 is: 14,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.09 : 36,766.78 = 9,711.68 : x
  2. Step 2: Convert to fraction form
    24,503.09/36,766.78 = 9,711.68/x
  3. Step 3: Cross multiply
    24,503.09x = 36,766.78 × 9,711.68
  4. Step 4: Simplify right side
    24,503.09x = 357,067,201.99
  5. Step 5: Solve for x
    x = 357,067,201.99/24,503.09
  6. Step 6: Final answer
    x = 14,572.33

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1.5x scale

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.