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Finding the Fourth Proportional to 26,193.60, 39,267.12 and 9,550.50

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Solution

The fourth proportional to 26,193.60, 39,267.12 and 9,550.50 is: 14,317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,193.60 : 39,267.12 = 9,550.50 : x
  2. Step 2: Convert to fraction form
    26,193.60/39,267.12 = 9,550.50/x
  3. Step 3: Cross multiply
    26,193.60x = 39,267.12 × 9,550.50
  4. Step 4: Simplify right side
    26,193.60x = 375,020,629.56
  5. Step 5: Solve for x
    x = 375,020,629.56/26,193.60
  6. Step 6: Final answer
    x = 14,317.26

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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.