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Finding the Fourth Proportional to 10,686.38, 14,668.21 and 10,229.68

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Solution

The fourth proportional to 10,686.38, 14,668.21 and 10,229.68 is: 14,041.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.38 : 14,668.21 = 10,229.68 : x
  2. Step 2: Convert to fraction form
    10,686.38/14,668.21 = 10,229.68/x
  3. Step 3: Cross multiply
    10,686.38x = 14,668.21 × 10,229.68
  4. Step 4: Simplify right side
    10,686.38x = 150,050,985.54
  5. Step 5: Solve for x
    x = 150,050,985.54/10,686.38
  6. Step 6: Final answer
    x = 14,041.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.