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Finding the Fourth Proportional to 23,658.80, 32,649.84 and 13,047.92

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Solution

The fourth proportional to 23,658.80, 32,649.84 and 13,047.92 is: 18,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.80 : 32,649.84 = 13,047.92 : x
  2. Step 2: Convert to fraction form
    23,658.80/32,649.84 = 13,047.92/x
  3. Step 3: Cross multiply
    23,658.80x = 32,649.84 × 13,047.92
  4. Step 4: Simplify right side
    23,658.80x = 426,012,500.33
  5. Step 5: Solve for x
    x = 426,012,500.33/23,658.80
  6. Step 6: Final answer
    x = 18,006.51

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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.