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Finding the Fourth Proportional to 24,854.09, 37,286.73 and 8,215.88

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Solution

The fourth proportional to 24,854.09, 37,286.73 and 8,215.88 is: 12,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.09 : 37,286.73 = 8,215.88 : x
  2. Step 2: Convert to fraction form
    24,854.09/37,286.73 = 8,215.88/x
  3. Step 3: Cross multiply
    24,854.09x = 37,286.73 × 8,215.88
  4. Step 4: Simplify right side
    24,854.09x = 306,343,112.84
  5. Step 5: Solve for x
    x = 306,343,112.84/24,854.09
  6. Step 6: Final answer
    x = 12,325.66

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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.