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Finding the Fourth Proportional to 14,943.87, 20,622.30 and 8,230.13

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Solution

The fourth proportional to 14,943.87, 20,622.30 and 8,230.13 is: 11,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,943.87 : 20,622.30 = 8,230.13 : x
  2. Step 2: Convert to fraction form
    14,943.87/20,622.30 = 8,230.13/x
  3. Step 3: Cross multiply
    14,943.87x = 20,622.30 × 8,230.13
  4. Step 4: Simplify right side
    14,943.87x = 169,724,106.80
  5. Step 5: Solve for x
    x = 169,724,106.80/14,943.87
  6. Step 6: Final answer
    x = 11,357.44

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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.