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Finding the Fourth Proportional to 23,878.46, 32,951.28 and 13,268

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Solution

The fourth proportional to 23,878.46, 32,951.28 and 13,268 is: 18,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.46 : 32,951.28 = 13,268 : x
  2. Step 2: Convert to fraction form
    23,878.46/32,951.28 = 13,268/x
  3. Step 3: Cross multiply
    23,878.46x = 32,951.28 × 13,268
  4. Step 4: Simplify right side
    23,878.46x = 437,197,583.04
  5. Step 5: Solve for x
    x = 437,197,583.04/23,878.46
  6. Step 6: Final answer
    x = 18,309.29

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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.