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Finding the Fourth Proportional to 10,209.92, 15,314.34 and 2,814.88

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Solution

The fourth proportional to 10,209.92, 15,314.34 and 2,814.88 is: 4,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.92 : 15,314.34 = 2,814.88 : x
  2. Step 2: Convert to fraction form
    10,209.92/15,314.34 = 2,814.88/x
  3. Step 3: Cross multiply
    10,209.92x = 15,314.34 × 2,814.88
  4. Step 4: Simplify right side
    10,209.92x = 43,108,029.38
  5. Step 5: Solve for x
    x = 43,108,029.38/10,209.92
  6. Step 6: Final answer
    x = 4,222.17

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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.