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Finding the Fourth Proportional to 23,786.40, 32,758.65 and 23,269.82

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Solution

The fourth proportional to 23,786.40, 32,758.65 and 23,269.82 is: 32,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786.40 : 32,758.65 = 23,269.82 : x
  2. Step 2: Convert to fraction form
    23,786.40/32,758.65 = 23,269.82/x
  3. Step 3: Cross multiply
    23,786.40x = 32,758.65 × 23,269.82
  4. Step 4: Simplify right side
    23,786.40x = 762,287,970.84
  5. Step 5: Solve for x
    x = 762,287,970.84/23,786.40
  6. Step 6: Final answer
    x = 32,047.22

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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.