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Finding the Fourth Proportional to 16,178.64, 22,326.57 and 9,105.18

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Solution

The fourth proportional to 16,178.64, 22,326.57 and 9,105.18 is: 12,565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.64 : 22,326.57 = 9,105.18 : x
  2. Step 2: Convert to fraction form
    16,178.64/22,326.57 = 9,105.18/x
  3. Step 3: Cross multiply
    16,178.64x = 22,326.57 × 9,105.18
  4. Step 4: Simplify right side
    16,178.64x = 203,287,438.63
  5. Step 5: Solve for x
    x = 203,287,438.63/16,178.64
  6. Step 6: Final answer
    x = 12,565.17

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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.