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Finding the Fourth Proportional to 23,850.92, 32,915.36 and 13,780.68

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Solution

The fourth proportional to 23,850.92, 32,915.36 and 13,780.68 is: 19,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,850.92 : 32,915.36 = 13,780.68 : x
  2. Step 2: Convert to fraction form
    23,850.92/32,915.36 = 13,780.68/x
  3. Step 3: Cross multiply
    23,850.92x = 32,915.36 × 13,780.68
  4. Step 4: Simplify right side
    23,850.92x = 453,596,077.70
  5. Step 5: Solve for x
    x = 453,596,077.70/23,850.92
  6. Step 6: Final answer
    x = 19,017.97

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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.