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Finding the Fourth Proportional to 23,731.63, 35,662.11 and 12,646.24

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Solution

The fourth proportional to 23,731.63, 35,662.11 and 12,646.24 is: 19,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,731.63 : 35,662.11 = 12,646.24 : x
  2. Step 2: Convert to fraction form
    23,731.63/35,662.11 = 12,646.24/x
  3. Step 3: Cross multiply
    23,731.63x = 35,662.11 × 12,646.24
  4. Step 4: Simplify right side
    23,731.63x = 450,991,601.97
  5. Step 5: Solve for x
    x = 450,991,601.97/23,731.63
  6. Step 6: Final answer
    x = 19,003.82

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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.