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Finding the Fourth Proportional to 16,057.95, 22,160.00 and 8,984.38

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Solution

The fourth proportional to 16,057.95, 22,160.00 and 8,984.38 is: 12,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.95 : 22,160.00 = 8,984.38 : x
  2. Step 2: Convert to fraction form
    16,057.95/22,160.00 = 8,984.38/x
  3. Step 3: Cross multiply
    16,057.95x = 22,160.00 × 8,984.38
  4. Step 4: Simplify right side
    16,057.95x = 199,093,705.08
  5. Step 5: Solve for x
    x = 199,093,705.08/16,057.95
  6. Step 6: Final answer
    x = 12,398.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.