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Finding the Fourth Proportional to 11,234.40, 16,819.20 and 9,938.40

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Solution

The fourth proportional to 11,234.40, 16,819.20 and 9,938.40 is: 14,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.40 : 16,819.20 = 9,938.40 : x
  2. Step 2: Convert to fraction form
    11,234.40/16,819.20 = 9,938.40/x
  3. Step 3: Cross multiply
    11,234.40x = 16,819.20 × 9,938.40
  4. Step 4: Simplify right side
    11,234.40x = 167,155,937.28
  5. Step 5: Solve for x
    x = 167,155,937.28/11,234.40
  6. Step 6: Final answer
    x = 14,878.94

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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.