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Finding the Fourth Proportional to 24,147.74, 36,220.80 and 16,301.84

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Solution

The fourth proportional to 24,147.74, 36,220.80 and 16,301.84 is: 24,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.74 : 36,220.80 = 16,301.84 : x
  2. Step 2: Convert to fraction form
    24,147.74/36,220.80 = 16,301.84/x
  3. Step 3: Cross multiply
    24,147.74x = 36,220.80 × 16,301.84
  4. Step 4: Simplify right side
    24,147.74x = 590,465,686.27
  5. Step 5: Solve for x
    x = 590,465,686.27/24,147.74
  6. Step 6: Final answer
    x = 24,452.21

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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.