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Finding the Fourth Proportional to 21,753.52, 32,641.44 and 10,660

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Solution

The fourth proportional to 21,753.52, 32,641.44 and 10,660 is: 15,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,753.52 : 32,641.44 = 10,660 : x
  2. Step 2: Convert to fraction form
    21,753.52/32,641.44 = 10,660/x
  3. Step 3: Cross multiply
    21,753.52x = 32,641.44 × 10,660
  4. Step 4: Simplify right side
    21,753.52x = 347,957,750.40
  5. Step 5: Solve for x
    x = 347,957,750.40/21,753.52
  6. Step 6: Final answer
    x = 15,995.47

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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.