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Finding the Fourth Proportional to 14,617.80, 21,891.87 and 9,336.47

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Solution

The fourth proportional to 14,617.80, 21,891.87 and 9,336.47 is: 13,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.80 : 21,891.87 = 9,336.47 : x
  2. Step 2: Convert to fraction form
    14,617.80/21,891.87 = 9,336.47/x
  3. Step 3: Cross multiply
    14,617.80x = 21,891.87 × 9,336.47
  4. Step 4: Simplify right side
    14,617.80x = 204,392,678.04
  5. Step 5: Solve for x
    x = 204,392,678.04/14,617.80
  6. Step 6: Final answer
    x = 13,982.45

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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.