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Finding the Fourth Proportional to 23,773.76, 32,806.40 and 13,162.80

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Solution

The fourth proportional to 23,773.76, 32,806.40 and 13,162.80 is: 18,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.76 : 32,806.40 = 13,162.80 : x
  2. Step 2: Convert to fraction form
    23,773.76/32,806.40 = 13,162.80/x
  3. Step 3: Cross multiply
    23,773.76x = 32,806.40 × 13,162.80
  4. Step 4: Simplify right side
    23,773.76x = 431,824,081.92
  5. Step 5: Solve for x
    x = 431,824,081.92/23,773.76
  6. Step 6: Final answer
    x = 18,163.90

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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.