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Finding the Fourth Proportional to 14,147.70, 21,230.76 and 5,382.69

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Solution

The fourth proportional to 14,147.70, 21,230.76 and 5,382.69 is: 8,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.70 : 21,230.76 = 5,382.69 : x
  2. Step 2: Convert to fraction form
    14,147.70/21,230.76 = 5,382.69/x
  3. Step 3: Cross multiply
    14,147.70x = 21,230.76 × 5,382.69
  4. Step 4: Simplify right side
    14,147.70x = 114,278,509.84
  5. Step 5: Solve for x
    x = 114,278,509.84/14,147.70
  6. Step 6: Final answer
    x = 8,077.53

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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.