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Finding the Fourth Proportional to 24,023, 33,149.04 and 13,950.20

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Solution

The fourth proportional to 24,023, 33,149.04 and 13,950.20 is: 19,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023 : 33,149.04 = 13,950.20 : x
  2. Step 2: Convert to fraction form
    24,023/33,149.04 = 13,950.20/x
  3. Step 3: Cross multiply
    24,023x = 33,149.04 × 13,950.20
  4. Step 4: Simplify right side
    24,023x = 462,435,737.81
  5. Step 5: Solve for x
    x = 462,435,737.81/24,023
  6. Step 6: Final answer
    x = 19,249.71

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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.