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Finding the Fourth Proportional to 16,449.69, 22,700.76 and 8,896.17

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Solution

The fourth proportional to 16,449.69, 22,700.76 and 8,896.17 is: 12,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.69 : 22,700.76 = 8,896.17 : x
  2. Step 2: Convert to fraction form
    16,449.69/22,700.76 = 8,896.17/x
  3. Step 3: Cross multiply
    16,449.69x = 22,700.76 × 8,896.17
  4. Step 4: Simplify right side
    16,449.69x = 201,949,744.16
  5. Step 5: Solve for x
    x = 201,949,744.16/16,449.69
  6. Step 6: Final answer
    x = 12,276.81

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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.