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Finding the Fourth Proportional to 16,262.72, 22,443.48 and 9,189.76

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Solution

The fourth proportional to 16,262.72, 22,443.48 and 9,189.76 is: 12,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.72 : 22,443.48 = 9,189.76 : x
  2. Step 2: Convert to fraction form
    16,262.72/22,443.48 = 9,189.76/x
  3. Step 3: Cross multiply
    16,262.72x = 22,443.48 × 9,189.76
  4. Step 4: Simplify right side
    16,262.72x = 206,250,194.76
  5. Step 5: Solve for x
    x = 206,250,194.76/16,262.72
  6. Step 6: Final answer
    x = 12,682.39

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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.