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Finding the Fourth Proportional to 23,805.36, 35,708.40 and 8,223.12

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Solution

The fourth proportional to 23,805.36, 35,708.40 and 8,223.12 is: 12,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.36 : 35,708.40 = 8,223.12 : x
  2. Step 2: Convert to fraction form
    23,805.36/35,708.40 = 8,223.12/x
  3. Step 3: Cross multiply
    23,805.36x = 35,708.40 × 8,223.12
  4. Step 4: Simplify right side
    23,805.36x = 293,634,458.21
  5. Step 5: Solve for x
    x = 293,634,458.21/23,805.36
  6. Step 6: Final answer
    x = 12,334.80

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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.