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Finding the Fourth Proportional to 23,251.25, 32,086.65 and 12,640.81

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Solution

The fourth proportional to 23,251.25, 32,086.65 and 12,640.81 is: 17,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,251.25 : 32,086.65 = 12,640.81 : x
  2. Step 2: Convert to fraction form
    23,251.25/32,086.65 = 12,640.81/x
  3. Step 3: Cross multiply
    23,251.25x = 32,086.65 × 12,640.81
  4. Step 4: Simplify right side
    23,251.25x = 405,601,246.19
  5. Step 5: Solve for x
    x = 405,601,246.19/23,251.25
  6. Step 6: Final answer
    x = 17,444.28

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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.