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Finding the Fourth Proportional to 14,478.45, 19,982.14 and 8,107.47

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Solution

The fourth proportional to 14,478.45, 19,982.14 and 8,107.47 is: 11,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.45 : 19,982.14 = 8,107.47 : x
  2. Step 2: Convert to fraction form
    14,478.45/19,982.14 = 8,107.47/x
  3. Step 3: Cross multiply
    14,478.45x = 19,982.14 × 8,107.47
  4. Step 4: Simplify right side
    14,478.45x = 162,004,550.99
  5. Step 5: Solve for x
    x = 162,004,550.99/14,478.45
  6. Step 6: Final answer
    x = 11,189.36

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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.