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Finding the Fourth Proportional to 13,154.35, 19,722.94 and 5,251.99

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Solution

The fourth proportional to 13,154.35, 19,722.94 and 5,251.99 is: 7,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.35 : 19,722.94 = 5,251.99 : x
  2. Step 2: Convert to fraction form
    13,154.35/19,722.94 = 5,251.99/x
  3. Step 3: Cross multiply
    13,154.35x = 19,722.94 × 5,251.99
  4. Step 4: Simplify right side
    13,154.35x = 103,584,687.74
  5. Step 5: Solve for x
    x = 103,584,687.74/13,154.35
  6. Step 6: Final answer
    x = 7,874.56

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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.