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Finding the Fourth Proportional to 23,204.34, 32,022.02 and 12,593.98

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Solution

The fourth proportional to 23,204.34, 32,022.02 and 12,593.98 is: 17,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.34 : 32,022.02 = 12,593.98 : x
  2. Step 2: Convert to fraction form
    23,204.34/32,022.02 = 12,593.98/x
  3. Step 3: Cross multiply
    23,204.34x = 32,022.02 × 12,593.98
  4. Step 4: Simplify right side
    23,204.34x = 403,284,616.47
  5. Step 5: Solve for x
    x = 403,284,616.47/23,204.34
  6. Step 6: Final answer
    x = 17,379.71

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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.