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Finding the Fourth Proportional to 16,077.28, 22,187.28 and 9,003.64

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Solution

The fourth proportional to 16,077.28, 22,187.28 and 9,003.64 is: 12,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.28 : 22,187.28 = 9,003.64 : x
  2. Step 2: Convert to fraction form
    16,077.28/22,187.28 = 9,003.64/x
  3. Step 3: Cross multiply
    16,077.28x = 22,187.28 × 9,003.64
  4. Step 4: Simplify right side
    16,077.28x = 199,766,281.70
  5. Step 5: Solve for x
    x = 199,766,281.70/16,077.28
  6. Step 6: Final answer
    x = 12,425.38

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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.