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Finding the Fourth Proportional to 14,747.86, 20,352.11 and 8,033.43

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Solution

The fourth proportional to 14,747.86, 20,352.11 and 8,033.43 is: 11,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,747.86 : 20,352.11 = 8,033.43 : x
  2. Step 2: Convert to fraction form
    14,747.86/20,352.11 = 8,033.43/x
  3. Step 3: Cross multiply
    14,747.86x = 20,352.11 × 8,033.43
  4. Step 4: Simplify right side
    14,747.86x = 163,497,210.87
  5. Step 5: Solve for x
    x = 163,497,210.87/14,747.86
  6. Step 6: Final answer
    x = 11,086.17

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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.