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Finding the Fourth Proportional to 16,416.96, 22,654.56 and 8,963.52

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Solution

The fourth proportional to 16,416.96, 22,654.56 and 8,963.52 is: 12,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.96 : 22,654.56 = 8,963.52 : x
  2. Step 2: Convert to fraction form
    16,416.96/22,654.56 = 8,963.52/x
  3. Step 3: Cross multiply
    16,416.96x = 22,654.56 × 8,963.52
  4. Step 4: Simplify right side
    16,416.96x = 203,064,601.65
  5. Step 5: Solve for x
    x = 203,064,601.65/16,416.96
  6. Step 6: Final answer
    x = 12,369.20

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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.