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Finding the Fourth Proportional to 12,984, 17,921.16 and 7,398.24

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Solution

The fourth proportional to 12,984, 17,921.16 and 7,398.24 is: 10,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984 : 17,921.16 = 7,398.24 : x
  2. Step 2: Convert to fraction form
    12,984/17,921.16 = 7,398.24/x
  3. Step 3: Cross multiply
    12,984x = 17,921.16 × 7,398.24
  4. Step 4: Simplify right side
    12,984x = 132,585,042.76
  5. Step 5: Solve for x
    x = 132,585,042.76/12,984
  6. Step 6: Final answer
    x = 10,211.42

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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.