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Finding the Fourth Proportional to 16,146.36, 22,282.92 and 8,976.42

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Solution

The fourth proportional to 16,146.36, 22,282.92 and 8,976.42 is: 12,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.36 : 22,282.92 = 8,976.42 : x
  2. Step 2: Convert to fraction form
    16,146.36/22,282.92 = 8,976.42/x
  3. Step 3: Cross multiply
    16,146.36x = 22,282.92 × 8,976.42
  4. Step 4: Simplify right side
    16,146.36x = 200,020,848.75
  5. Step 5: Solve for x
    x = 200,020,848.75/16,146.36
  6. Step 6: Final answer
    x = 12,387.98

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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.