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Finding the Fourth Proportional to 14,147.87, 21,192.65 and 8,286.71

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Solution

The fourth proportional to 14,147.87, 21,192.65 and 8,286.71 is: 12,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.87 : 21,192.65 = 8,286.71 : x
  2. Step 2: Convert to fraction form
    14,147.87/21,192.65 = 8,286.71/x
  3. Step 3: Cross multiply
    14,147.87x = 21,192.65 × 8,286.71
  4. Step 4: Simplify right side
    14,147.87x = 175,617,303.25
  5. Step 5: Solve for x
    x = 175,617,303.25/14,147.87
  6. Step 6: Final answer
    x = 12,412.99

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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.