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Finding the Fourth Proportional to 26,028.44, 39,043 and 9,161.96

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Solution

The fourth proportional to 26,028.44, 39,043 and 9,161.96 is: 13,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,028.44 : 39,043 = 9,161.96 : x
  2. Step 2: Convert to fraction form
    26,028.44/39,043 = 9,161.96/x
  3. Step 3: Cross multiply
    26,028.44x = 39,043 × 9,161.96
  4. Step 4: Simplify right side
    26,028.44x = 357,710,404.28
  5. Step 5: Solve for x
    x = 357,710,404.28/26,028.44
  6. Step 6: Final answer
    x = 13,743.06

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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.