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Finding the Fourth Proportional to 24,862.35, 37,294.16 and 8,222.39

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Solution

The fourth proportional to 24,862.35, 37,294.16 and 8,222.39 is: 12,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,862.35 : 37,294.16 = 8,222.39 : x
  2. Step 2: Convert to fraction form
    24,862.35/37,294.16 = 8,222.39/x
  3. Step 3: Cross multiply
    24,862.35x = 37,294.16 × 8,222.39
  4. Step 4: Simplify right side
    24,862.35x = 306,646,900.66
  5. Step 5: Solve for x
    x = 306,646,900.66/24,862.35
  6. Step 6: Final answer
    x = 12,333.79

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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.