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Finding the Fourth Proportional to 13,674.92, 20,512.40 and 10,559.48

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Solution

The fourth proportional to 13,674.92, 20,512.40 and 10,559.48 is: 15,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.92 : 20,512.40 = 10,559.48 : x
  2. Step 2: Convert to fraction form
    13,674.92/20,512.40 = 10,559.48/x
  3. Step 3: Cross multiply
    13,674.92x = 20,512.40 × 10,559.48
  4. Step 4: Simplify right side
    13,674.92x = 216,600,277.55
  5. Step 5: Solve for x
    x = 216,600,277.55/13,674.92
  6. Step 6: Final answer
    x = 15,839.24

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1.5x scale

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.