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Finding the Fourth Proportional to 20,206.83, 27,885.03 and 13,833.26

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Solution

The fourth proportional to 20,206.83, 27,885.03 and 13,833.26 is: 19,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.83 : 27,885.03 = 13,833.26 : x
  2. Step 2: Convert to fraction form
    20,206.83/27,885.03 = 13,833.26/x
  3. Step 3: Cross multiply
    20,206.83x = 27,885.03 × 13,833.26
  4. Step 4: Simplify right side
    20,206.83x = 385,740,870.10
  5. Step 5: Solve for x
    x = 385,740,870.10/20,206.83
  6. Step 6: Final answer
    x = 19,089.63

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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.