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Finding the Fourth Proportional to 23,811.80, 32,860.23 and 13,201.16

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Solution

The fourth proportional to 23,811.80, 32,860.23 and 13,201.16 is: 18,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,811.80 : 32,860.23 = 13,201.16 : x
  2. Step 2: Convert to fraction form
    23,811.80/32,860.23 = 13,201.16/x
  3. Step 3: Cross multiply
    23,811.80x = 32,860.23 × 13,201.16
  4. Step 4: Simplify right side
    23,811.80x = 433,793,153.87
  5. Step 5: Solve for x
    x = 433,793,153.87/23,811.80
  6. Step 6: Final answer
    x = 18,217.57

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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.