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Finding the Fourth Proportional to 16,057.69, 22,159.67 and 8,984.11

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Solution

The fourth proportional to 16,057.69, 22,159.67 and 8,984.11 is: 12,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.69 : 22,159.67 = 8,984.11 : x
  2. Step 2: Convert to fraction form
    16,057.69/22,159.67 = 8,984.11/x
  3. Step 3: Cross multiply
    16,057.69x = 22,159.67 × 8,984.11
  4. Step 4: Simplify right side
    16,057.69x = 199,084,757.12
  5. Step 5: Solve for x
    x = 199,084,757.12/16,057.69
  6. Step 6: Final answer
    x = 12,398.10

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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.