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Finding the Fourth Proportional to 16,057.92, 22,159.76 and 8,984.36

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Solution

The fourth proportional to 16,057.92, 22,159.76 and 8,984.36 is: 12,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.92 : 22,159.76 = 8,984.36 : x
  2. Step 2: Convert to fraction form
    16,057.92/22,159.76 = 8,984.36/x
  3. Step 3: Cross multiply
    16,057.92x = 22,159.76 × 8,984.36
  4. Step 4: Simplify right side
    16,057.92x = 199,091,261.35
  5. Step 5: Solve for x
    x = 199,091,261.35/16,057.92
  6. Step 6: Final answer
    x = 12,398.32

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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.