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Finding the Fourth Proportional to 23,638.10, 32,619.03 and 13,027.73

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Solution

The fourth proportional to 23,638.10, 32,619.03 and 13,027.73 is: 17,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638.10 : 32,619.03 = 13,027.73 : x
  2. Step 2: Convert to fraction form
    23,638.10/32,619.03 = 13,027.73/x
  3. Step 3: Cross multiply
    23,638.10x = 32,619.03 × 13,027.73
  4. Step 4: Simplify right side
    23,638.10x = 424,951,752.61
  5. Step 5: Solve for x
    x = 424,951,752.61/23,638.10
  6. Step 6: Final answer
    x = 17,977.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.