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Finding the Fourth Proportional to 19,865.90, 27,408.14 and 11,364.92

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Solution

The fourth proportional to 19,865.90, 27,408.14 and 11,364.92 is: 15,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865.90 : 27,408.14 = 11,364.92 : x
  2. Step 2: Convert to fraction form
    19,865.90/27,408.14 = 11,364.92/x
  3. Step 3: Cross multiply
    19,865.90x = 27,408.14 × 11,364.92
  4. Step 4: Simplify right side
    19,865.90x = 311,491,318.45
  5. Step 5: Solve for x
    x = 311,491,318.45/19,865.90
  6. Step 6: Final answer
    x = 15,679.70

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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.