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Finding the Fourth Proportional to 24,722.50, 34,118.49 and 14,115.46

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Solution

The fourth proportional to 24,722.50, 34,118.49 and 14,115.46 is: 19,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,722.50 : 34,118.49 = 14,115.46 : x
  2. Step 2: Convert to fraction form
    24,722.50/34,118.49 = 14,115.46/x
  3. Step 3: Cross multiply
    24,722.50x = 34,118.49 × 14,115.46
  4. Step 4: Simplify right side
    24,722.50x = 481,598,180.86
  5. Step 5: Solve for x
    x = 481,598,180.86/24,722.50
  6. Step 6: Final answer
    x = 19,480.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.