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Finding the Fourth Proportional to 23,867.80, 32,937.60 and 13,257.16

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Solution

The fourth proportional to 23,867.80, 32,937.60 and 13,257.16 is: 18,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,867.80 : 32,937.60 = 13,257.16 : x
  2. Step 2: Convert to fraction form
    23,867.80/32,937.60 = 13,257.16/x
  3. Step 3: Cross multiply
    23,867.80x = 32,937.60 × 13,257.16
  4. Step 4: Simplify right side
    23,867.80x = 436,659,033.22
  5. Step 5: Solve for x
    x = 436,659,033.22/23,867.80
  6. Step 6: Final answer
    x = 18,294.90

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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.