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Finding the Fourth Proportional to 24,819.39, 37,230.90 and 9,237

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Solution

The fourth proportional to 24,819.39, 37,230.90 and 9,237 is: 13,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,819.39 : 37,230.90 = 9,237 : x
  2. Step 2: Convert to fraction form
    24,819.39/37,230.90 = 9,237/x
  3. Step 3: Cross multiply
    24,819.39x = 37,230.90 × 9,237
  4. Step 4: Simplify right side
    24,819.39x = 343,901,823.30
  5. Step 5: Solve for x
    x = 343,901,823.30/24,819.39
  6. Step 6: Final answer
    x = 13,856.18

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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.