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Finding the Fourth Proportional to 24,862.57, 37,288.44 and 8,218.66

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Solution

The fourth proportional to 24,862.57, 37,288.44 and 8,218.66 is: 12,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,862.57 : 37,288.44 = 8,218.66 : x
  2. Step 2: Convert to fraction form
    24,862.57/37,288.44 = 8,218.66/x
  3. Step 3: Cross multiply
    24,862.57x = 37,288.44 × 8,218.66
  4. Step 4: Simplify right side
    24,862.57x = 306,461,010.29
  5. Step 5: Solve for x
    x = 306,461,010.29/24,862.57
  6. Step 6: Final answer
    x = 12,326.20

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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.