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Finding the Fourth Proportional to 16,042.14, 22,138.84 and 8,968.56

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Solution

The fourth proportional to 16,042.14, 22,138.84 and 8,968.56 is: 12,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.14 : 22,138.84 = 8,968.56 : x
  2. Step 2: Convert to fraction form
    16,042.14/22,138.84 = 8,968.56/x
  3. Step 3: Cross multiply
    16,042.14x = 22,138.84 × 8,968.56
  4. Step 4: Simplify right side
    16,042.14x = 198,553,514.87
  5. Step 5: Solve for x
    x = 198,553,514.87/16,042.14
  6. Step 6: Final answer
    x = 12,377.00

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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.