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Finding the Fourth Proportional to 24,851.93, 37,281.68 and 8,213.72

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Solution

The fourth proportional to 24,851.93, 37,281.68 and 8,213.72 is: 12,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,851.93 : 37,281.68 = 8,213.72 : x
  2. Step 2: Convert to fraction form
    24,851.93/37,281.68 = 8,213.72/x
  3. Step 3: Cross multiply
    24,851.93x = 37,281.68 × 8,213.72
  4. Step 4: Simplify right side
    24,851.93x = 306,221,239.58
  5. Step 5: Solve for x
    x = 306,221,239.58/24,851.93
  6. Step 6: Final answer
    x = 12,321.83

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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.