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Finding the Fourth Proportional to 24,091.83, 36,133.83 and 7,224.66

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Solution

The fourth proportional to 24,091.83, 36,133.83 and 7,224.66 is: 10,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,091.83 : 36,133.83 = 7,224.66 : x
  2. Step 2: Convert to fraction form
    24,091.83/36,133.83 = 7,224.66/x
  3. Step 3: Cross multiply
    24,091.83x = 36,133.83 × 7,224.66
  4. Step 4: Simplify right side
    24,091.83x = 261,054,636.25
  5. Step 5: Solve for x
    x = 261,054,636.25/24,091.83
  6. Step 6: Final answer
    x = 10,835.82

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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.