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Finding the Fourth Proportional to 10,229.82, 15,358.41 and 9,897.68

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Solution

The fourth proportional to 10,229.82, 15,358.41 and 9,897.68 is: 14,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.82 : 15,358.41 = 9,897.68 : x
  2. Step 2: Convert to fraction form
    10,229.82/15,358.41 = 9,897.68/x
  3. Step 3: Cross multiply
    10,229.82x = 15,358.41 × 9,897.68
  4. Step 4: Simplify right side
    10,229.82x = 152,012,550.70
  5. Step 5: Solve for x
    x = 152,012,550.70/10,229.82
  6. Step 6: Final answer
    x = 14,859.75

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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.