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Finding the Fourth Proportional to 16,266.76, 22,448.12 and 8,814.76

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Solution

The fourth proportional to 16,266.76, 22,448.12 and 8,814.76 is: 12,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.76 : 22,448.12 = 8,814.76 : x
  2. Step 2: Convert to fraction form
    16,266.76/22,448.12 = 8,814.76/x
  3. Step 3: Cross multiply
    16,266.76x = 22,448.12 × 8,814.76
  4. Step 4: Simplify right side
    16,266.76x = 197,874,790.25
  5. Step 5: Solve for x
    x = 197,874,790.25/16,266.76
  6. Step 6: Final answer
    x = 12,164.36

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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.