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Finding the Fourth Proportional to 18,667.52, 25,761.20 and 10,284

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Solution

The fourth proportional to 18,667.52, 25,761.20 and 10,284 is: 14,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,667.52 : 25,761.20 = 10,284 : x
  2. Step 2: Convert to fraction form
    18,667.52/25,761.20 = 10,284/x
  3. Step 3: Cross multiply
    18,667.52x = 25,761.20 × 10,284
  4. Step 4: Simplify right side
    18,667.52x = 264,928,180.80
  5. Step 5: Solve for x
    x = 264,928,180.80/18,667.52
  6. Step 6: Final answer
    x = 14,191.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.