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Finding the Fourth Proportional to 13,774.88, 20,667.84 and 5,010.40

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Solution

The fourth proportional to 13,774.88, 20,667.84 and 5,010.40 is: 7,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.88 : 20,667.84 = 5,010.40 : x
  2. Step 2: Convert to fraction form
    13,774.88/20,667.84 = 5,010.40/x
  3. Step 3: Cross multiply
    13,774.88x = 20,667.84 × 5,010.40
  4. Step 4: Simplify right side
    13,774.88x = 103,554,145.54
  5. Step 5: Solve for x
    x = 103,554,145.54/13,774.88
  6. Step 6: Final answer
    x = 7,517.61

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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.