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Finding the Fourth Proportional to 23,804.70, 35,712.48 and 8,222.28

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Solution

The fourth proportional to 23,804.70, 35,712.48 and 8,222.28 is: 12,335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.70 : 35,712.48 = 8,222.28 : x
  2. Step 2: Convert to fraction form
    23,804.70/35,712.48 = 8,222.28/x
  3. Step 3: Cross multiply
    23,804.70x = 35,712.48 × 8,222.28
  4. Step 4: Simplify right side
    23,804.70x = 293,638,010.05
  5. Step 5: Solve for x
    x = 293,638,010.05/23,804.70
  6. Step 6: Final answer
    x = 12,335.30

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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.