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Finding the Fourth Proportional to 13,271.65, 19,906.14 and 4,506.43

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Solution

The fourth proportional to 13,271.65, 19,906.14 and 4,506.43 is: 6,759.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,271.65 : 19,906.14 = 4,506.43 : x
  2. Step 2: Convert to fraction form
    13,271.65/19,906.14 = 4,506.43/x
  3. Step 3: Cross multiply
    13,271.65x = 19,906.14 × 4,506.43
  4. Step 4: Simplify right side
    13,271.65x = 89,705,626.48
  5. Step 5: Solve for x
    x = 89,705,626.48/13,271.65
  6. Step 6: Final answer
    x = 6,759.19

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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.