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Finding the Fourth Proportional to 21,691.40, 32,543.22 and 6,109.16

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Solution

The fourth proportional to 21,691.40, 32,543.22 and 6,109.16 is: 9,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.40 : 32,543.22 = 6,109.16 : x
  2. Step 2: Convert to fraction form
    21,691.40/32,543.22 = 6,109.16/x
  3. Step 3: Cross multiply
    21,691.40x = 32,543.22 × 6,109.16
  4. Step 4: Simplify right side
    21,691.40x = 198,811,737.90
  5. Step 5: Solve for x
    x = 198,811,737.90/21,691.40
  6. Step 6: Final answer
    x = 9,165.46

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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.