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Finding the Fourth Proportional to 23,561.30, 32,514.05 and 12,805.92

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Solution

The fourth proportional to 23,561.30, 32,514.05 and 12,805.92 is: 17,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,561.30 : 32,514.05 = 12,805.92 : x
  2. Step 2: Convert to fraction form
    23,561.30/32,514.05 = 12,805.92/x
  3. Step 3: Cross multiply
    23,561.30x = 32,514.05 × 12,805.92
  4. Step 4: Simplify right side
    23,561.30x = 416,372,355.19
  5. Step 5: Solve for x
    x = 416,372,355.19/23,561.30
  6. Step 6: Final answer
    x = 17,671.87

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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.