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Finding the Fourth Proportional to 23,580.98, 32,542.61 and 12,971.42

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Solution

The fourth proportional to 23,580.98, 32,542.61 and 12,971.42 is: 17,901.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.98 : 32,542.61 = 12,971.42 : x
  2. Step 2: Convert to fraction form
    23,580.98/32,542.61 = 12,971.42/x
  3. Step 3: Cross multiply
    23,580.98x = 32,542.61 × 12,971.42
  4. Step 4: Simplify right side
    23,580.98x = 422,123,862.21
  5. Step 5: Solve for x
    x = 422,123,862.21/23,580.98
  6. Step 6: Final answer
    x = 17,901.03

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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.