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Finding the Fourth Proportional to 21,544.86, 32,304.04 and 8,381.90

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Solution

The fourth proportional to 21,544.86, 32,304.04 and 8,381.90 is: 12,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,544.86 : 32,304.04 = 8,381.90 : x
  2. Step 2: Convert to fraction form
    21,544.86/32,304.04 = 8,381.90/x
  3. Step 3: Cross multiply
    21,544.86x = 32,304.04 × 8,381.90
  4. Step 4: Simplify right side
    21,544.86x = 270,769,232.88
  5. Step 5: Solve for x
    x = 270,769,232.88/21,544.86
  6. Step 6: Final answer
    x = 12,567.70

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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.