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Finding the Fourth Proportional to 24,684.47, 34,052.49 and 16,182.84

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Solution

The fourth proportional to 24,684.47, 34,052.49 and 16,182.84 is: 22,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,684.47 : 34,052.49 = 16,182.84 : x
  2. Step 2: Convert to fraction form
    24,684.47/34,052.49 = 16,182.84/x
  3. Step 3: Cross multiply
    24,684.47x = 34,052.49 × 16,182.84
  4. Step 4: Simplify right side
    24,684.47x = 551,065,997.27
  5. Step 5: Solve for x
    x = 551,065,997.27/24,684.47
  6. Step 6: Final answer
    x = 22,324.41

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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.