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Finding the Fourth Proportional to 23,581.42, 32,542.63 and 12,971.13

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Solution

The fourth proportional to 23,581.42, 32,542.63 and 12,971.13 is: 17,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,581.42 : 32,542.63 = 12,971.13 : x
  2. Step 2: Convert to fraction form
    23,581.42/32,542.63 = 12,971.13/x
  3. Step 3: Cross multiply
    23,581.42x = 32,542.63 × 12,971.13
  4. Step 4: Simplify right side
    23,581.42x = 422,114,456.70
  5. Step 5: Solve for x
    x = 422,114,456.70/23,581.42
  6. Step 6: Final answer
    x = 17,900.30

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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.