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Finding the Fourth Proportional to 24,873.18, 37,298.25 and 8,230.14

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Solution

The fourth proportional to 24,873.18, 37,298.25 and 8,230.14 is: 12,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,873.18 : 37,298.25 = 8,230.14 : x
  2. Step 2: Convert to fraction form
    24,873.18/37,298.25 = 8,230.14/x
  3. Step 3: Cross multiply
    24,873.18x = 37,298.25 × 8,230.14
  4. Step 4: Simplify right side
    24,873.18x = 306,969,819.26
  5. Step 5: Solve for x
    x = 306,969,819.26/24,873.18
  6. Step 6: Final answer
    x = 12,341.40

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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.