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Finding the Fourth Proportional to 24,862.14, 37,294.02 and 8,223.12

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Solution

The fourth proportional to 24,862.14, 37,294.02 and 8,223.12 is: 12,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,862.14 : 37,294.02 = 8,223.12 : x
  2. Step 2: Convert to fraction form
    24,862.14/37,294.02 = 8,223.12/x
  3. Step 3: Cross multiply
    24,862.14x = 37,294.02 × 8,223.12
  4. Step 4: Simplify right side
    24,862.14x = 306,673,201.74
  5. Step 5: Solve for x
    x = 306,673,201.74/24,862.14
  6. Step 6: Final answer
    x = 12,334.95

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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.