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Finding the Fourth Proportional to 11,200.86, 16,761.65 and 9,659.02

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Solution

The fourth proportional to 11,200.86, 16,761.65 and 9,659.02 is: 14,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.86 : 16,761.65 = 9,659.02 : x
  2. Step 2: Convert to fraction form
    11,200.86/16,761.65 = 9,659.02/x
  3. Step 3: Cross multiply
    11,200.86x = 16,761.65 × 9,659.02
  4. Step 4: Simplify right side
    11,200.86x = 161,901,114.54
  5. Step 5: Solve for x
    x = 161,901,114.54/11,200.86
  6. Step 6: Final answer
    x = 14,454.35

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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.