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Finding the Fourth Proportional to 23,822.63, 35,733.94 and 9,971.63

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Solution

The fourth proportional to 23,822.63, 35,733.94 and 9,971.63 is: 14,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.63 : 35,733.94 = 9,971.63 : x
  2. Step 2: Convert to fraction form
    23,822.63/35,733.94 = 9,971.63/x
  3. Step 3: Cross multiply
    23,822.63x = 35,733.94 × 9,971.63
  4. Step 4: Simplify right side
    23,822.63x = 356,325,449.45
  5. Step 5: Solve for x
    x = 356,325,449.45/23,822.63
  6. Step 6: Final answer
    x = 14,957.44

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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.