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Finding the Fourth Proportional to 20,208.35, 27,890.82 and 15,419.23

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Solution

The fourth proportional to 20,208.35, 27,890.82 and 15,419.23 is: 21,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.35 : 27,890.82 = 15,419.23 : x
  2. Step 2: Convert to fraction form
    20,208.35/27,890.82 = 15,419.23/x
  3. Step 3: Cross multiply
    20,208.35x = 27,890.82 × 15,419.23
  4. Step 4: Simplify right side
    20,208.35x = 430,054,898.74
  5. Step 5: Solve for x
    x = 430,054,898.74/20,208.35
  6. Step 6: Final answer
    x = 21,281.05

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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.