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Finding the Fourth Proportional to 23,680.82, 32,680.59 and 13,612.52

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Solution

The fourth proportional to 23,680.82, 32,680.59 and 13,612.52 is: 18,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680.82 : 32,680.59 = 13,612.52 : x
  2. Step 2: Convert to fraction form
    23,680.82/32,680.59 = 13,612.52/x
  3. Step 3: Cross multiply
    23,680.82x = 32,680.59 × 13,612.52
  4. Step 4: Simplify right side
    23,680.82x = 444,865,184.99
  5. Step 5: Solve for x
    x = 444,865,184.99/23,680.82
  6. Step 6: Final answer
    x = 18,785.89

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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.