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Finding the Fourth Proportional to 24,785.52, 37,182.84 and 8,146.48

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Solution

The fourth proportional to 24,785.52, 37,182.84 and 8,146.48 is: 12,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,785.52 : 37,182.84 = 8,146.48 : x
  2. Step 2: Convert to fraction form
    24,785.52/37,182.84 = 8,146.48/x
  3. Step 3: Cross multiply
    24,785.52x = 37,182.84 × 8,146.48
  4. Step 4: Simplify right side
    24,785.52x = 302,909,262.40
  5. Step 5: Solve for x
    x = 302,909,262.40/24,785.52
  6. Step 6: Final answer
    x = 12,221.22

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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.