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Finding the Fourth Proportional to 18,732.80, 25,852.96 and 10,352

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Solution

The fourth proportional to 18,732.80, 25,852.96 and 10,352 is: 14,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,732.80 : 25,852.96 = 10,352 : x
  2. Step 2: Convert to fraction form
    18,732.80/25,852.96 = 10,352/x
  3. Step 3: Cross multiply
    18,732.80x = 25,852.96 × 10,352
  4. Step 4: Simplify right side
    18,732.80x = 267,629,841.92
  5. Step 5: Solve for x
    x = 267,629,841.92/18,732.80
  6. Step 6: Final answer
    x = 14,286.70

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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.