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Finding the Fourth Proportional to 16,549.78, 22,843.80 and 10,178.32

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Solution

The fourth proportional to 16,549.78, 22,843.80 and 10,178.32 is: 14,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.78 : 22,843.80 = 10,178.32 : x
  2. Step 2: Convert to fraction form
    16,549.78/22,843.80 = 10,178.32/x
  3. Step 3: Cross multiply
    16,549.78x = 22,843.80 × 10,178.32
  4. Step 4: Simplify right side
    16,549.78x = 232,511,506.42
  5. Step 5: Solve for x
    x = 232,511,506.42/16,549.78
  6. Step 6: Final answer
    x = 14,049.22

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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.