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Finding the Fourth Proportional to 18,992.50, 26,209.65 and 10,609

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Solution

The fourth proportional to 18,992.50, 26,209.65 and 10,609 is: 14,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,992.50 : 26,209.65 = 10,609 : x
  2. Step 2: Convert to fraction form
    18,992.50/26,209.65 = 10,609/x
  3. Step 3: Cross multiply
    18,992.50x = 26,209.65 × 10,609
  4. Step 4: Simplify right side
    18,992.50x = 278,058,176.85
  5. Step 5: Solve for x
    x = 278,058,176.85/18,992.50
  6. Step 6: Final answer
    x = 14,640.42

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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.