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Finding the Fourth Proportional to 22,651.58, 33,938.98 and 13,868.14

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Solution

The fourth proportional to 22,651.58, 33,938.98 and 13,868.14 is: 20,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.58 : 33,938.98 = 13,868.14 : x
  2. Step 2: Convert to fraction form
    22,651.58/33,938.98 = 13,868.14/x
  3. Step 3: Cross multiply
    22,651.58x = 33,938.98 × 13,868.14
  4. Step 4: Simplify right side
    22,651.58x = 470,670,526.10
  5. Step 5: Solve for x
    x = 470,670,526.10/22,651.58
  6. Step 6: Final answer
    x = 20,778.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.