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Finding the Fourth Proportional to 14,055.87, 21,083.81 and 8,209.29

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Solution

The fourth proportional to 14,055.87, 21,083.81 and 8,209.29 is: 12,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,055.87 : 21,083.81 = 8,209.29 : x
  2. Step 2: Convert to fraction form
    14,055.87/21,083.81 = 8,209.29/x
  3. Step 3: Cross multiply
    14,055.87x = 21,083.81 × 8,209.29
  4. Step 4: Simplify right side
    14,055.87x = 173,083,069.55
  5. Step 5: Solve for x
    x = 173,083,069.55/14,055.87
  6. Step 6: Final answer
    x = 12,313.94

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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.