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Finding the Fourth Proportional to 21,771.51, 32,657.19 and 5,976.71

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Solution

The fourth proportional to 21,771.51, 32,657.19 and 5,976.71 is: 8,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.51 : 32,657.19 = 5,976.71 : x
  2. Step 2: Convert to fraction form
    21,771.51/32,657.19 = 5,976.71/x
  3. Step 3: Cross multiply
    21,771.51x = 32,657.19 × 5,976.71
  4. Step 4: Simplify right side
    21,771.51x = 195,182,554.04
  5. Step 5: Solve for x
    x = 195,182,554.04/21,771.51
  6. Step 6: Final answer
    x = 8,965.04

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