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Finding the Fourth Proportional to 24,161.84, 36,200.80 and 13,076.16

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Solution

The fourth proportional to 24,161.84, 36,200.80 and 13,076.16 is: 19,591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,161.84 : 36,200.80 = 13,076.16 : x
  2. Step 2: Convert to fraction form
    24,161.84/36,200.80 = 13,076.16/x
  3. Step 3: Cross multiply
    24,161.84x = 36,200.80 × 13,076.16
  4. Step 4: Simplify right side
    24,161.84x = 473,367,452.93
  5. Step 5: Solve for x
    x = 473,367,452.93/24,161.84
  6. Step 6: Final answer
    x = 19,591.53

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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.