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Finding the Fourth Proportional to 17,672.68, 24,407.33 and 10,974.22

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Solution

The fourth proportional to 17,672.68, 24,407.33 and 10,974.22 is: 15,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,672.68 : 24,407.33 = 10,974.22 : x
  2. Step 2: Convert to fraction form
    17,672.68/24,407.33 = 10,974.22/x
  3. Step 3: Cross multiply
    17,672.68x = 24,407.33 × 10,974.22
  4. Step 4: Simplify right side
    17,672.68x = 267,851,293.14
  5. Step 5: Solve for x
    x = 267,851,293.14/17,672.68
  6. Step 6: Final answer
    x = 15,156.23

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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.