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Finding the Fourth Proportional to 22,614.30, 31,214.16 and 13,662.38

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Solution

The fourth proportional to 22,614.30, 31,214.16 and 13,662.38 is: 18,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.30 : 31,214.16 = 13,662.38 : x
  2. Step 2: Convert to fraction form
    22,614.30/31,214.16 = 13,662.38/x
  3. Step 3: Cross multiply
    22,614.30x = 31,214.16 × 13,662.38
  4. Step 4: Simplify right side
    22,614.30x = 426,459,715.30
  5. Step 5: Solve for x
    x = 426,459,715.30/22,614.30
  6. Step 6: Final answer
    x = 18,857.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.