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Finding the Fourth Proportional to 26,778.60, 36,954.72 and 14,842.20

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Solution

The fourth proportional to 26,778.60, 36,954.72 and 14,842.20 is: 20,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,778.60 : 36,954.72 = 14,842.20 : x
  2. Step 2: Convert to fraction form
    26,778.60/36,954.72 = 14,842.20/x
  3. Step 3: Cross multiply
    26,778.60x = 36,954.72 × 14,842.20
  4. Step 4: Simplify right side
    26,778.60x = 548,489,345.18
  5. Step 5: Solve for x
    x = 548,489,345.18/26,778.60
  6. Step 6: Final answer
    x = 20,482.38

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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.