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Finding the Fourth Proportional to 24,139.98, 36,197.58 and 10,096.20

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Solution

The fourth proportional to 24,139.98, 36,197.58 and 10,096.20 is: 15,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,139.98 : 36,197.58 = 10,096.20 : x
  2. Step 2: Convert to fraction form
    24,139.98/36,197.58 = 10,096.20/x
  3. Step 3: Cross multiply
    24,139.98x = 36,197.58 × 10,096.20
  4. Step 4: Simplify right side
    24,139.98x = 365,458,007.20
  5. Step 5: Solve for x
    x = 365,458,007.20/24,139.98
  6. Step 6: Final answer
    x = 15,139.12

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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.