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Finding the Fourth Proportional to 17,456.33, 24,104.25 and 16,190

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Solution

The fourth proportional to 17,456.33, 24,104.25 and 16,190 is: 22,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456.33 : 24,104.25 = 16,190 : x
  2. Step 2: Convert to fraction form
    17,456.33/24,104.25 = 16,190/x
  3. Step 3: Cross multiply
    17,456.33x = 24,104.25 × 16,190
  4. Step 4: Simplify right side
    17,456.33x = 390,247,726.55
  5. Step 5: Solve for x
    x = 390,247,726.55/17,456.33
  6. Step 6: Final answer
    x = 22,355.66

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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.