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Finding the Fourth Proportional to 24,762.29, 37,139.56 and 8,121.97

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Solution

The fourth proportional to 24,762.29, 37,139.56 and 8,121.97 is: 12,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.29 : 37,139.56 = 8,121.97 : x
  2. Step 2: Convert to fraction form
    24,762.29/37,139.56 = 8,121.97/x
  3. Step 3: Cross multiply
    24,762.29x = 37,139.56 × 8,121.97
  4. Step 4: Simplify right side
    24,762.29x = 301,646,392.13
  5. Step 5: Solve for x
    x = 301,646,392.13/24,762.29
  6. Step 6: Final answer
    x = 12,181.68

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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.