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Finding the Fourth Proportional to 12,914.24, 17,820.14 and 7,247.75

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Solution

The fourth proportional to 12,914.24, 17,820.14 and 7,247.75 is: 10,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.24 : 17,820.14 = 7,247.75 : x
  2. Step 2: Convert to fraction form
    12,914.24/17,820.14 = 7,247.75/x
  3. Step 3: Cross multiply
    12,914.24x = 17,820.14 × 7,247.75
  4. Step 4: Simplify right side
    12,914.24x = 129,155,794.35
  5. Step 5: Solve for x
    x = 129,155,794.35/12,914.24
  6. Step 6: Final answer
    x = 10,001.04

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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.