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Finding the Fourth Proportional to 23,276.68, 32,122.50 and 12,667

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Solution

The fourth proportional to 23,276.68, 32,122.50 and 12,667 is: 17,480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,276.68 : 32,122.50 = 12,667 : x
  2. Step 2: Convert to fraction form
    23,276.68/32,122.50 = 12,667/x
  3. Step 3: Cross multiply
    23,276.68x = 32,122.50 × 12,667
  4. Step 4: Simplify right side
    23,276.68x = 406,895,707.50
  5. Step 5: Solve for x
    x = 406,895,707.50/23,276.68
  6. Step 6: Final answer
    x = 17,480.83

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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.