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Finding the Fourth Proportional to 24,201.96, 36,297.46 and 9,203.73

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Solution

The fourth proportional to 24,201.96, 36,297.46 and 9,203.73 is: 13,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,201.96 : 36,297.46 = 9,203.73 : x
  2. Step 2: Convert to fraction form
    24,201.96/36,297.46 = 9,203.73/x
  3. Step 3: Cross multiply
    24,201.96x = 36,297.46 × 9,203.73
  4. Step 4: Simplify right side
    24,201.96x = 334,072,021.53
  5. Step 5: Solve for x
    x = 334,072,021.53/24,201.96
  6. Step 6: Final answer
    x = 13,803.51

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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.