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Finding the Fourth Proportional to 11,734.88, 16,208.52 and 9,499.28

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Solution

The fourth proportional to 11,734.88, 16,208.52 and 9,499.28 is: 13,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.88 : 16,208.52 = 9,499.28 : x
  2. Step 2: Convert to fraction form
    11,734.88/16,208.52 = 9,499.28/x
  3. Step 3: Cross multiply
    11,734.88x = 16,208.52 × 9,499.28
  4. Step 4: Simplify right side
    11,734.88x = 153,969,269.87
  5. Step 5: Solve for x
    x = 153,969,269.87/11,734.88
  6. Step 6: Final answer
    x = 13,120.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.