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Finding the Fourth Proportional to 16,178.68, 22,326.53 and 9,105.11

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Solution

The fourth proportional to 16,178.68, 22,326.53 and 9,105.11 is: 12,565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.68 : 22,326.53 = 9,105.11 : x
  2. Step 2: Convert to fraction form
    16,178.68/22,326.53 = 9,105.11/x
  3. Step 3: Cross multiply
    16,178.68x = 22,326.53 × 9,105.11
  4. Step 4: Simplify right side
    16,178.68x = 203,285,511.57
  5. Step 5: Solve for x
    x = 203,285,511.57/16,178.68
  6. Step 6: Final answer
    x = 12,565.02

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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.