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Finding the Fourth Proportional to 16,814.51, 23,198.78 and 9,545.41

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Solution

The fourth proportional to 16,814.51, 23,198.78 and 9,545.41 is: 13,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.51 : 23,198.78 = 9,545.41 : x
  2. Step 2: Convert to fraction form
    16,814.51/23,198.78 = 9,545.41/x
  3. Step 3: Cross multiply
    16,814.51x = 23,198.78 × 9,545.41
  4. Step 4: Simplify right side
    16,814.51x = 221,441,919.46
  5. Step 5: Solve for x
    x = 221,441,919.46/16,814.51
  6. Step 6: Final answer
    x = 13,169.69

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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.