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Finding the Fourth Proportional to 16,178.32, 22,326.80 and 9,105.20

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Solution

The fourth proportional to 16,178.32, 22,326.80 and 9,105.20 is: 12,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.32 : 22,326.80 = 9,105.20 : x
  2. Step 2: Convert to fraction form
    16,178.32/22,326.80 = 9,105.20/x
  3. Step 3: Cross multiply
    16,178.32x = 22,326.80 × 9,105.20
  4. Step 4: Simplify right side
    16,178.32x = 203,289,979.36
  5. Step 5: Solve for x
    x = 203,289,979.36/16,178.32
  6. Step 6: Final answer
    x = 12,565.58

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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.