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Finding the Fourth Proportional to 10,996.85, 16,495.28 and 9,117.65

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Solution

The fourth proportional to 10,996.85, 16,495.28 and 9,117.65 is: 13,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.85 : 16,495.28 = 9,117.65 : x
  2. Step 2: Convert to fraction form
    10,996.85/16,495.28 = 9,117.65/x
  3. Step 3: Cross multiply
    10,996.85x = 16,495.28 × 9,117.65
  4. Step 4: Simplify right side
    10,996.85x = 150,398,144.10
  5. Step 5: Solve for x
    x = 150,398,144.10/10,996.85
  6. Step 6: Final answer
    x = 13,676.48

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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.