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Finding the Fourth Proportional to 23,806.50, 32,853 and 13,197.72

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Solution

The fourth proportional to 23,806.50, 32,853 and 13,197.72 is: 18,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.50 : 32,853 = 13,197.72 : x
  2. Step 2: Convert to fraction form
    23,806.50/32,853 = 13,197.72/x
  3. Step 3: Cross multiply
    23,806.50x = 32,853 × 13,197.72
  4. Step 4: Simplify right side
    23,806.50x = 433,584,695.16
  5. Step 5: Solve for x
    x = 433,584,695.16/23,806.50
  6. Step 6: Final answer
    x = 18,212.87

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1.5x scale

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.