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Finding the Fourth Proportional to 24,199, 33,400.38 and 14,775.52

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Solution

The fourth proportional to 24,199, 33,400.38 and 14,775.52 is: 20,393.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199 : 33,400.38 = 14,775.52 : x
  2. Step 2: Convert to fraction form
    24,199/33,400.38 = 14,775.52/x
  3. Step 3: Cross multiply
    24,199x = 33,400.38 × 14,775.52
  4. Step 4: Simplify right side
    24,199x = 493,507,982.70
  5. Step 5: Solve for x
    x = 493,507,982.70/24,199
  6. Step 6: Final answer
    x = 20,393.73

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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.