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Finding the Fourth Proportional to 23,010.75, 31,755.02 and 12,939.10

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Solution

The fourth proportional to 23,010.75, 31,755.02 and 12,939.10 is: 17,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,010.75 : 31,755.02 = 12,939.10 : x
  2. Step 2: Convert to fraction form
    23,010.75/31,755.02 = 12,939.10/x
  3. Step 3: Cross multiply
    23,010.75x = 31,755.02 × 12,939.10
  4. Step 4: Simplify right side
    23,010.75x = 410,881,458.08
  5. Step 5: Solve for x
    x = 410,881,458.08/23,010.75
  6. Step 6: Final answer
    x = 17,856.07

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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.