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Finding the Fourth Proportional to 14,147.85, 21,230.99 and 5,382.84

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Solution

The fourth proportional to 14,147.85, 21,230.99 and 5,382.84 is: 8,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.85 : 21,230.99 = 5,382.84 : x
  2. Step 2: Convert to fraction form
    14,147.85/21,230.99 = 5,382.84/x
  3. Step 3: Cross multiply
    14,147.85x = 21,230.99 × 5,382.84
  4. Step 4: Simplify right side
    14,147.85x = 114,283,022.21
  5. Step 5: Solve for x
    x = 114,283,022.21/14,147.85
  6. Step 6: Final answer
    x = 8,077.77

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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.