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Finding the Fourth Proportional to 24,784.48, 37,180.72 and 8,139.68

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Solution

The fourth proportional to 24,784.48, 37,180.72 and 8,139.68 is: 12,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.48 : 37,180.72 = 8,139.68 : x
  2. Step 2: Convert to fraction form
    24,784.48/37,180.72 = 8,139.68/x
  3. Step 3: Cross multiply
    24,784.48x = 37,180.72 × 8,139.68
  4. Step 4: Simplify right side
    24,784.48x = 302,639,162.97
  5. Step 5: Solve for x
    x = 302,639,162.97/24,784.48
  6. Step 6: Final answer
    x = 12,210.83

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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.