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Finding the Fourth Proportional to 24,772.80, 37,159.20 and 16,478.40

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Solution

The fourth proportional to 24,772.80, 37,159.20 and 16,478.40 is: 24,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,772.80 : 37,159.20 = 16,478.40 : x
  2. Step 2: Convert to fraction form
    24,772.80/37,159.20 = 16,478.40/x
  3. Step 3: Cross multiply
    24,772.80x = 37,159.20 × 16,478.40
  4. Step 4: Simplify right side
    24,772.80x = 612,324,161.28
  5. Step 5: Solve for x
    x = 612,324,161.28/24,772.80
  6. Step 6: Final answer
    x = 24,717.60

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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.