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Finding the Fourth Proportional to 24,858.60, 37,278.27 and 8,214.15

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Solution

The fourth proportional to 24,858.60, 37,278.27 and 8,214.15 is: 12,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858.60 : 37,278.27 = 8,214.15 : x
  2. Step 2: Convert to fraction form
    24,858.60/37,278.27 = 8,214.15/x
  3. Step 3: Cross multiply
    24,858.60x = 37,278.27 × 8,214.15
  4. Step 4: Simplify right side
    24,858.60x = 306,209,301.52
  5. Step 5: Solve for x
    x = 306,209,301.52/24,858.60
  6. Step 6: Final answer
    x = 12,318.04

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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.