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Finding the Fourth Proportional to 22,023.30, 32,967.45 and 12,132.30

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Solution

The fourth proportional to 22,023.30, 32,967.45 and 12,132.30 is: 18,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023.30 : 32,967.45 = 12,132.30 : x
  2. Step 2: Convert to fraction form
    22,023.30/32,967.45 = 12,132.30/x
  3. Step 3: Cross multiply
    22,023.30x = 32,967.45 × 12,132.30
  4. Step 4: Simplify right side
    22,023.30x = 399,970,993.64
  5. Step 5: Solve for x
    x = 399,970,993.64/22,023.30
  6. Step 6: Final answer
    x = 18,161.27

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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.