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Finding the Fourth Proportional to 21,565.38, 32,348.07 and 5,983

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Solution

The fourth proportional to 21,565.38, 32,348.07 and 5,983 is: 8,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.38 : 32,348.07 = 5,983 : x
  2. Step 2: Convert to fraction form
    21,565.38/32,348.07 = 5,983/x
  3. Step 3: Cross multiply
    21,565.38x = 32,348.07 × 5,983
  4. Step 4: Simplify right side
    21,565.38x = 193,538,502.81
  5. Step 5: Solve for x
    x = 193,538,502.81/21,565.38
  6. Step 6: Final answer
    x = 8,974.50

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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.