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Finding the Fourth Proportional to 21,543.13, 32,302.03 and 8,380.02

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Solution

The fourth proportional to 21,543.13, 32,302.03 and 8,380.02 is: 12,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543.13 : 32,302.03 = 8,380.02 : x
  2. Step 2: Convert to fraction form
    21,543.13/32,302.03 = 8,380.02/x
  3. Step 3: Cross multiply
    21,543.13x = 32,302.03 × 8,380.02
  4. Step 4: Simplify right side
    21,543.13x = 270,691,657.44
  5. Step 5: Solve for x
    x = 270,691,657.44/21,543.13
  6. Step 6: Final answer
    x = 12,565.10

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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.