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Finding the Fourth Proportional to 13,024.62, 17,976.24 and 7,721.28

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Solution

The fourth proportional to 13,024.62, 17,976.24 and 7,721.28 is: 10,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.62 : 17,976.24 = 7,721.28 : x
  2. Step 2: Convert to fraction form
    13,024.62/17,976.24 = 7,721.28/x
  3. Step 3: Cross multiply
    13,024.62x = 17,976.24 × 7,721.28
  4. Step 4: Simplify right side
    13,024.62x = 138,799,582.39
  5. Step 5: Solve for x
    x = 138,799,582.39/13,024.62
  6. Step 6: Final answer
    x = 10,656.71

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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.