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Finding the Fourth Proportional to 24,200.64, 36,300.96 and 10,162.80

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Solution

The fourth proportional to 24,200.64, 36,300.96 and 10,162.80 is: 15,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200.64 : 36,300.96 = 10,162.80 : x
  2. Step 2: Convert to fraction form
    24,200.64/36,300.96 = 10,162.80/x
  3. Step 3: Cross multiply
    24,200.64x = 36,300.96 × 10,162.80
  4. Step 4: Simplify right side
    24,200.64x = 368,919,396.29
  5. Step 5: Solve for x
    x = 368,919,396.29/24,200.64
  6. Step 6: Final answer
    x = 15,244.20

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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.