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Finding the Fourth Proportional to 10,209.66, 15,314.04 and 2,814.12

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Solution

The fourth proportional to 10,209.66, 15,314.04 and 2,814.12 is: 4,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.66 : 15,314.04 = 2,814.12 : x
  2. Step 2: Convert to fraction form
    10,209.66/15,314.04 = 2,814.12/x
  3. Step 3: Cross multiply
    10,209.66x = 15,314.04 × 2,814.12
  4. Step 4: Simplify right side
    10,209.66x = 43,095,546.24
  5. Step 5: Solve for x
    x = 43,095,546.24/10,209.66
  6. Step 6: Final answer
    x = 4,221.06

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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.