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Finding the Fourth Proportional to 25,600.44, 35,324.31 and 14,267.45

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Solution

The fourth proportional to 25,600.44, 35,324.31 and 14,267.45 is: 19,686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.44 : 35,324.31 = 14,267.45 : x
  2. Step 2: Convert to fraction form
    25,600.44/35,324.31 = 14,267.45/x
  3. Step 3: Cross multiply
    25,600.44x = 35,324.31 × 14,267.45
  4. Step 4: Simplify right side
    25,600.44x = 503,987,650.09
  5. Step 5: Solve for x
    x = 503,987,650.09/25,600.44
  6. Step 6: Final answer
    x = 19,686.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.