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Finding the Fourth Proportional to 13,723.28, 20,584.92 and 3,335

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Solution

The fourth proportional to 13,723.28, 20,584.92 and 3,335 is: 5,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.28 : 20,584.92 = 3,335 : x
  2. Step 2: Convert to fraction form
    13,723.28/20,584.92 = 3,335/x
  3. Step 3: Cross multiply
    13,723.28x = 20,584.92 × 3,335
  4. Step 4: Simplify right side
    13,723.28x = 68,650,708.20
  5. Step 5: Solve for x
    x = 68,650,708.20/13,723.28
  6. Step 6: Final answer
    x = 5,002.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.