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Finding the Fourth Proportional to 24,361.40, 36,543.41 and 7,722.73

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Solution

The fourth proportional to 24,361.40, 36,543.41 and 7,722.73 is: 11,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,361.40 : 36,543.41 = 7,722.73 : x
  2. Step 2: Convert to fraction form
    24,361.40/36,543.41 = 7,722.73/x
  3. Step 3: Cross multiply
    24,361.40x = 36,543.41 × 7,722.73
  4. Step 4: Simplify right side
    24,361.40x = 282,214,758.74
  5. Step 5: Solve for x
    x = 282,214,758.74/24,361.40
  6. Step 6: Final answer
    x = 11,584.51

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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.