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Finding the Fourth Proportional to 21,543.85, 32,302.54 and 8,380.90

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Solution

The fourth proportional to 21,543.85, 32,302.54 and 8,380.90 is: 12,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543.85 : 32,302.54 = 8,380.90 : x
  2. Step 2: Convert to fraction form
    21,543.85/32,302.54 = 8,380.90/x
  3. Step 3: Cross multiply
    21,543.85x = 32,302.54 × 8,380.90
  4. Step 4: Simplify right side
    21,543.85x = 270,724,357.49
  5. Step 5: Solve for x
    x = 270,724,357.49/21,543.85
  6. Step 6: Final answer
    x = 12,566.20

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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.