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Finding the Fourth Proportional to 16,057.14, 22,159.47 and 8,983.41

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Solution

The fourth proportional to 16,057.14, 22,159.47 and 8,983.41 is: 12,397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.14 : 22,159.47 = 8,983.41 : x
  2. Step 2: Convert to fraction form
    16,057.14/22,159.47 = 8,983.41/x
  3. Step 3: Cross multiply
    16,057.14x = 22,159.47 × 8,983.41
  4. Step 4: Simplify right side
    16,057.14x = 199,067,554.98
  5. Step 5: Solve for x
    x = 199,067,554.98/16,057.14
  6. Step 6: Final answer
    x = 12,397.45

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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.