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Finding the Fourth Proportional to 23,853.20, 32,915.74 and 13,242.20

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Solution

The fourth proportional to 23,853.20, 32,915.74 and 13,242.20 is: 18,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.20 : 32,915.74 = 13,242.20 : x
  2. Step 2: Convert to fraction form
    23,853.20/32,915.74 = 13,242.20/x
  3. Step 3: Cross multiply
    23,853.20x = 32,915.74 × 13,242.20
  4. Step 4: Simplify right side
    23,853.20x = 435,876,812.23
  5. Step 5: Solve for x
    x = 435,876,812.23/23,853.20
  6. Step 6: Final answer
    x = 18,273.31

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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.