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Finding the Fourth Proportional to 23,205.98, 32,024.22 and 13,134.24

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Solution

The fourth proportional to 23,205.98, 32,024.22 and 13,134.24 is: 18,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.98 : 32,024.22 = 13,134.24 : x
  2. Step 2: Convert to fraction form
    23,205.98/32,024.22 = 13,134.24/x
  3. Step 3: Cross multiply
    23,205.98x = 32,024.22 × 13,134.24
  4. Step 4: Simplify right side
    23,205.98x = 420,613,791.29
  5. Step 5: Solve for x
    x = 420,613,791.29/23,205.98
  6. Step 6: Final answer
    x = 18,125.24

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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.