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Finding the Fourth Proportional to 13,081.84, 19,626.06 and 5,687.62

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Solution

The fourth proportional to 13,081.84, 19,626.06 and 5,687.62 is: 8,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.84 : 19,626.06 = 5,687.62 : x
  2. Step 2: Convert to fraction form
    13,081.84/19,626.06 = 5,687.62/x
  3. Step 3: Cross multiply
    13,081.84x = 19,626.06 × 5,687.62
  4. Step 4: Simplify right side
    13,081.84x = 111,625,543.64
  5. Step 5: Solve for x
    x = 111,625,543.64/13,081.84
  6. Step 6: Final answer
    x = 8,532.86

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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.