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Finding the Fourth Proportional to 26,582.30, 39,879.62 and 9,052.28

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Solution

The fourth proportional to 26,582.30, 39,879.62 and 9,052.28 is: 13,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,582.30 : 39,879.62 = 9,052.28 : x
  2. Step 2: Convert to fraction form
    26,582.30/39,879.62 = 9,052.28/x
  3. Step 3: Cross multiply
    26,582.30x = 39,879.62 × 9,052.28
  4. Step 4: Simplify right side
    26,582.30x = 361,001,241.87
  5. Step 5: Solve for x
    x = 361,001,241.87/26,582.30
  6. Step 6: Final answer
    x = 13,580.51

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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.