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Finding the Fourth Proportional to 26,859.36, 40,306.32 and 14,556

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Solution

The fourth proportional to 26,859.36, 40,306.32 and 14,556 is: 21,843.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,859.36 : 40,306.32 = 14,556 : x
  2. Step 2: Convert to fraction form
    26,859.36/40,306.32 = 14,556/x
  3. Step 3: Cross multiply
    26,859.36x = 40,306.32 × 14,556
  4. Step 4: Simplify right side
    26,859.36x = 586,698,793.92
  5. Step 5: Solve for x
    x = 586,698,793.92/26,859.36
  6. Step 6: Final answer
    x = 21,843.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.