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Finding the Fourth Proportional to 19,711.14, 29,551 and 11,381.70

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Solution

The fourth proportional to 19,711.14, 29,551 and 11,381.70 is: 17,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.14 : 29,551 = 11,381.70 : x
  2. Step 2: Convert to fraction form
    19,711.14/29,551 = 11,381.70/x
  3. Step 3: Cross multiply
    19,711.14x = 29,551 × 11,381.70
  4. Step 4: Simplify right side
    19,711.14x = 336,340,616.70
  5. Step 5: Solve for x
    x = 336,340,616.70/19,711.14
  6. Step 6: Final answer
    x = 17,063.48

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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.