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Finding the Fourth Proportional to 16,189.83, 22,341.17 and 9,016.47

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Solution

The fourth proportional to 16,189.83, 22,341.17 and 9,016.47 is: 12,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.83 : 22,341.17 = 9,016.47 : x
  2. Step 2: Convert to fraction form
    16,189.83/22,341.17 = 9,016.47/x
  3. Step 3: Cross multiply
    16,189.83x = 22,341.17 × 9,016.47
  4. Step 4: Simplify right side
    16,189.83x = 201,438,511.61
  5. Step 5: Solve for x
    x = 201,438,511.61/16,189.83
  6. Step 6: Final answer
    x = 12,442.29

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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.