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Finding the Fourth Proportional to 14,034.77, 21,033.91 and 5,705.09

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Solution

The fourth proportional to 14,034.77, 21,033.91 and 5,705.09 is: 8,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.77 : 21,033.91 = 5,705.09 : x
  2. Step 2: Convert to fraction form
    14,034.77/21,033.91 = 5,705.09/x
  3. Step 3: Cross multiply
    14,034.77x = 21,033.91 × 5,705.09
  4. Step 4: Simplify right side
    14,034.77x = 120,000,349.60
  5. Step 5: Solve for x
    x = 120,000,349.60/14,034.77
  6. Step 6: Final answer
    x = 8,550.22

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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.