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Finding the Fourth Proportional to 26,449.60, 39,703.20 and 14,785.60

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Solution

The fourth proportional to 26,449.60, 39,703.20 and 14,785.60 is: 22,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,449.60 : 39,703.20 = 14,785.60 : x
  2. Step 2: Convert to fraction form
    26,449.60/39,703.20 = 14,785.60/x
  3. Step 3: Cross multiply
    26,449.60x = 39,703.20 × 14,785.60
  4. Step 4: Simplify right side
    26,449.60x = 587,035,633.92
  5. Step 5: Solve for x
    x = 587,035,633.92/26,449.60
  6. Step 6: Final answer
    x = 22,194.50

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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.