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Finding the Fourth Proportional to 16,262.69, 22,442.51 and 9,189.11

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Solution

The fourth proportional to 16,262.69, 22,442.51 and 9,189.11 is: 12,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.69 : 22,442.51 = 9,189.11 : x
  2. Step 2: Convert to fraction form
    16,262.69/22,442.51 = 9,189.11/x
  3. Step 3: Cross multiply
    16,262.69x = 22,442.51 × 9,189.11
  4. Step 4: Simplify right side
    16,262.69x = 206,226,703.23
  5. Step 5: Solve for x
    x = 206,226,703.23/16,262.69
  6. Step 6: Final answer
    x = 12,680.97

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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.