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Finding the Fourth Proportional to 15,983.52, 23,982.72 and 7,098.12

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Solution

The fourth proportional to 15,983.52, 23,982.72 and 7,098.12 is: 10,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983.52 : 23,982.72 = 7,098.12 : x
  2. Step 2: Convert to fraction form
    15,983.52/23,982.72 = 7,098.12/x
  3. Step 3: Cross multiply
    15,983.52x = 23,982.72 × 7,098.12
  4. Step 4: Simplify right side
    15,983.52x = 170,232,224.49
  5. Step 5: Solve for x
    x = 170,232,224.49/15,983.52
  6. Step 6: Final answer
    x = 10,650.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.