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Finding the Fourth Proportional to 13,023.20, 17,971.08 and 7,718.36

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Solution

The fourth proportional to 13,023.20, 17,971.08 and 7,718.36 is: 10,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.20 : 17,971.08 = 7,718.36 : x
  2. Step 2: Convert to fraction form
    13,023.20/17,971.08 = 7,718.36/x
  3. Step 3: Cross multiply
    13,023.20x = 17,971.08 × 7,718.36
  4. Step 4: Simplify right side
    13,023.20x = 138,707,265.03
  5. Step 5: Solve for x
    x = 138,707,265.03/13,023.20
  6. Step 6: Final answer
    x = 10,650.78

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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.