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Finding the Fourth Proportional to 23,580.45, 32,542.97 and 12,971.61

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Solution

The fourth proportional to 23,580.45, 32,542.97 and 12,971.61 is: 17,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.45 : 32,542.97 = 12,971.61 : x
  2. Step 2: Convert to fraction form
    23,580.45/32,542.97 = 12,971.61/x
  3. Step 3: Cross multiply
    23,580.45x = 32,542.97 × 12,971.61
  4. Step 4: Simplify right side
    23,580.45x = 422,134,650.22
  5. Step 5: Solve for x
    x = 422,134,650.22/23,580.45
  6. Step 6: Final answer
    x = 17,901.89

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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.