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Finding the Fourth Proportional to 11,317.50, 16,991.10 and 9,932.40

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Solution

The fourth proportional to 11,317.50, 16,991.10 and 9,932.40 is: 14,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,317.50 : 16,991.10 = 9,932.40 : x
  2. Step 2: Convert to fraction form
    11,317.50/16,991.10 = 9,932.40/x
  3. Step 3: Cross multiply
    11,317.50x = 16,991.10 × 9,932.40
  4. Step 4: Simplify right side
    11,317.50x = 168,762,401.64
  5. Step 5: Solve for x
    x = 168,762,401.64/11,317.50
  6. Step 6: Final answer
    x = 14,911.63

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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.