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Finding the Fourth Proportional to 16,214.69, 22,376.30 and 9,141.09

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Solution

The fourth proportional to 16,214.69, 22,376.30 and 9,141.09 is: 12,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.69 : 22,376.30 = 9,141.09 : x
  2. Step 2: Convert to fraction form
    16,214.69/22,376.30 = 9,141.09/x
  3. Step 3: Cross multiply
    16,214.69x = 22,376.30 × 9,141.09
  4. Step 4: Simplify right side
    16,214.69x = 204,543,726.46
  5. Step 5: Solve for x
    x = 204,543,726.46/16,214.69
  6. Step 6: Final answer
    x = 12,614.72

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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.