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Finding the Fourth Proportional to 27,813.44, 38,380.80 and 15,235.84

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Solution

The fourth proportional to 27,813.44, 38,380.80 and 15,235.84 is: 21,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.44 : 38,380.80 = 15,235.84 : x
  2. Step 2: Convert to fraction form
    27,813.44/38,380.80 = 15,235.84/x
  3. Step 3: Cross multiply
    27,813.44x = 38,380.80 × 15,235.84
  4. Step 4: Simplify right side
    27,813.44x = 584,763,727.87
  5. Step 5: Solve for x
    x = 584,763,727.87/27,813.44
  6. Step 6: Final answer
    x = 21,024.50

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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.