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Finding the Fourth Proportional to 27,223.87, 40,781.13 and 12,412.41

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Solution

The fourth proportional to 27,223.87, 40,781.13 and 12,412.41 is: 18,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,223.87 : 40,781.13 = 12,412.41 : x
  2. Step 2: Convert to fraction form
    27,223.87/40,781.13 = 12,412.41/x
  3. Step 3: Cross multiply
    27,223.87x = 40,781.13 × 12,412.41
  4. Step 4: Simplify right side
    27,223.87x = 506,192,043.76
  5. Step 5: Solve for x
    x = 506,192,043.76/27,223.87
  6. Step 6: Final answer
    x = 18,593.69

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