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Finding the Fourth Proportional to 11,189.52, 16,767.95 and 9,959.40

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Solution

The fourth proportional to 11,189.52, 16,767.95 and 9,959.40 is: 14,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,189.52 : 16,767.95 = 9,959.40 : x
  2. Step 2: Convert to fraction form
    11,189.52/16,767.95 = 9,959.40/x
  3. Step 3: Cross multiply
    11,189.52x = 16,767.95 × 9,959.40
  4. Step 4: Simplify right side
    11,189.52x = 166,998,671.43
  5. Step 5: Solve for x
    x = 166,998,671.43/11,189.52
  6. Step 6: Final answer
    x = 14,924.56

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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.