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Finding the Fourth Proportional to 11,178.58, 16,780.17 and 9,445.02

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Solution

The fourth proportional to 11,178.58, 16,780.17 and 9,445.02 is: 14,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.58 : 16,780.17 = 9,445.02 : x
  2. Step 2: Convert to fraction form
    11,178.58/16,780.17 = 9,445.02/x
  3. Step 3: Cross multiply
    11,178.58x = 16,780.17 × 9,445.02
  4. Step 4: Simplify right side
    11,178.58x = 158,489,041.25
  5. Step 5: Solve for x
    x = 158,489,041.25/11,178.58
  6. Step 6: Final answer
    x = 14,177.92

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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.