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Finding the Fourth Proportional to 21,565.50, 32,348.25 and 5,983.13

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Solution

The fourth proportional to 21,565.50, 32,348.25 and 5,983.13 is: 8,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.50 : 32,348.25 = 5,983.13 : x
  2. Step 2: Convert to fraction form
    21,565.50/32,348.25 = 5,983.13/x
  3. Step 3: Cross multiply
    21,565.50x = 32,348.25 × 5,983.13
  4. Step 4: Simplify right side
    21,565.50x = 193,543,623.28
  5. Step 5: Solve for x
    x = 193,543,623.28/21,565.50
  6. Step 6: Final answer
    x = 8,974.69

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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.