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Finding the Fourth Proportional to 23,813.69, 35,720.53 and 8,222.81

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Solution

The fourth proportional to 23,813.69, 35,720.53 and 8,222.81 is: 12,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.69 : 35,720.53 = 8,222.81 : x
  2. Step 2: Convert to fraction form
    23,813.69/35,720.53 = 8,222.81/x
  3. Step 3: Cross multiply
    23,813.69x = 35,720.53 × 8,222.81
  4. Step 4: Simplify right side
    23,813.69x = 293,722,932.13
  5. Step 5: Solve for x
    x = 293,722,932.13/23,813.69
  6. Step 6: Final answer
    x = 12,334.21

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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.