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Finding the Fourth Proportional to 23,272.68, 32,115.72 and 13,584

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Solution

The fourth proportional to 23,272.68, 32,115.72 and 13,584 is: 18,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,272.68 : 32,115.72 = 13,584 : x
  2. Step 2: Convert to fraction form
    23,272.68/32,115.72 = 13,584/x
  3. Step 3: Cross multiply
    23,272.68x = 32,115.72 × 13,584
  4. Step 4: Simplify right side
    23,272.68x = 436,259,940.48
  5. Step 5: Solve for x
    x = 436,259,940.48/23,272.68
  6. Step 6: Final answer
    x = 18,745.58

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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.