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Finding the Fourth Proportional to 23,853.67, 32,915.68 and 13,242.16

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Solution

The fourth proportional to 23,853.67, 32,915.68 and 13,242.16 is: 18,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.67 : 32,915.68 = 13,242.16 : x
  2. Step 2: Convert to fraction form
    23,853.67/32,915.68 = 13,242.16/x
  3. Step 3: Cross multiply
    23,853.67x = 32,915.68 × 13,242.16
  4. Step 4: Simplify right side
    23,853.67x = 435,874,701.07
  5. Step 5: Solve for x
    x = 435,874,701.07/23,853.67
  6. Step 6: Final answer
    x = 18,272.86

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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.