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Finding the Fourth Proportional to 15,498.20, 23,221.70 and 13,194.20

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Solution

The fourth proportional to 15,498.20, 23,221.70 and 13,194.20 is: 19,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498.20 : 23,221.70 = 13,194.20 : x
  2. Step 2: Convert to fraction form
    15,498.20/23,221.70 = 13,194.20/x
  3. Step 3: Cross multiply
    15,498.20x = 23,221.70 × 13,194.20
  4. Step 4: Simplify right side
    15,498.20x = 306,391,754.14
  5. Step 5: Solve for x
    x = 306,391,754.14/15,498.20
  6. Step 6: Final answer
    x = 19,769.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.