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Finding the Fourth Proportional to 20,017.84, 30,026.77 and 8,177.20

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Solution

The fourth proportional to 20,017.84, 30,026.77 and 8,177.20 is: 12,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,017.84 : 30,026.77 = 8,177.20 : x
  2. Step 2: Convert to fraction form
    20,017.84/30,026.77 = 8,177.20/x
  3. Step 3: Cross multiply
    20,017.84x = 30,026.77 × 8,177.20
  4. Step 4: Simplify right side
    20,017.84x = 245,535,019.26
  5. Step 5: Solve for x
    x = 245,535,019.26/20,017.84
  6. Step 6: Final answer
    x = 12,265.81

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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.