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Finding the Fourth Proportional to 23,222.32, 32,042.64 and 13,793.20

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Solution

The fourth proportional to 23,222.32, 32,042.64 and 13,793.20 is: 19,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,222.32 : 32,042.64 = 13,793.20 : x
  2. Step 2: Convert to fraction form
    23,222.32/32,042.64 = 13,793.20/x
  3. Step 3: Cross multiply
    23,222.32x = 32,042.64 × 13,793.20
  4. Step 4: Simplify right side
    23,222.32x = 441,970,542.05
  5. Step 5: Solve for x
    x = 441,970,542.05/23,222.32
  6. Step 6: Final answer
    x = 19,032.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.