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Finding the Fourth Proportional to 23,269.75, 32,112.50 and 12,659.41

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Solution

The fourth proportional to 23,269.75, 32,112.50 and 12,659.41 is: 17,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,269.75 : 32,112.50 = 12,659.41 : x
  2. Step 2: Convert to fraction form
    23,269.75/32,112.50 = 12,659.41/x
  3. Step 3: Cross multiply
    23,269.75x = 32,112.50 × 12,659.41
  4. Step 4: Simplify right side
    23,269.75x = 406,525,171.04
  5. Step 5: Solve for x
    x = 406,525,171.04/23,269.75
  6. Step 6: Final answer
    x = 17,470.12

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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.