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Finding the Fourth Proportional to 23,229.38, 32,056.56 and 12,618.99

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Solution

The fourth proportional to 23,229.38, 32,056.56 and 12,618.99 is: 17,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229.38 : 32,056.56 = 12,618.99 : x
  2. Step 2: Convert to fraction form
    23,229.38/32,056.56 = 12,618.99/x
  3. Step 3: Cross multiply
    23,229.38x = 32,056.56 × 12,618.99
  4. Step 4: Simplify right side
    23,229.38x = 404,521,410.07
  5. Step 5: Solve for x
    x = 404,521,410.07/23,229.38
  6. Step 6: Final answer
    x = 17,414.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.