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Finding the Fourth Proportional to 16,819.20, 23,209.95 and 10,013.22

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Solution

The fourth proportional to 16,819.20, 23,209.95 and 10,013.22 is: 13,817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.20 : 23,209.95 = 10,013.22 : x
  2. Step 2: Convert to fraction form
    16,819.20/23,209.95 = 10,013.22/x
  3. Step 3: Cross multiply
    16,819.20x = 23,209.95 × 10,013.22
  4. Step 4: Simplify right side
    16,819.20x = 232,406,335.54
  5. Step 5: Solve for x
    x = 232,406,335.54/16,819.20
  6. Step 6: Final answer
    x = 13,817.92

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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.