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Finding the Fourth Proportional to 14,350.46, 19,803 and 8,382.68

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Solution

The fourth proportional to 14,350.46, 19,803 and 8,382.68 is: 11,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,350.46 : 19,803 = 8,382.68 : x
  2. Step 2: Convert to fraction form
    14,350.46/19,803 = 8,382.68/x
  3. Step 3: Cross multiply
    14,350.46x = 19,803 × 8,382.68
  4. Step 4: Simplify right side
    14,350.46x = 166,002,212.04
  5. Step 5: Solve for x
    x = 166,002,212.04/14,350.46
  6. Step 6: Final answer
    x = 11,567.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.