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Finding the Fourth Proportional to 26,246, 39,380.60 and 13,763.04

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Solution

The fourth proportional to 26,246, 39,380.60 and 13,763.04 is: 20,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,246 : 39,380.60 = 13,763.04 : x
  2. Step 2: Convert to fraction form
    26,246/39,380.60 = 13,763.04/x
  3. Step 3: Cross multiply
    26,246x = 39,380.60 × 13,763.04
  4. Step 4: Simplify right side
    26,246x = 541,996,773.02
  5. Step 5: Solve for x
    x = 541,996,773.02/26,246
  6. Step 6: Final answer
    x = 20,650.64

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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.