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Finding the Fourth Proportional to 22,662.92, 31,267.29 and 13,707.02

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Solution

The fourth proportional to 22,662.92, 31,267.29 and 13,707.02 is: 18,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.92 : 31,267.29 = 13,707.02 : x
  2. Step 2: Convert to fraction form
    22,662.92/31,267.29 = 13,707.02/x
  3. Step 3: Cross multiply
    22,662.92x = 31,267.29 × 13,707.02
  4. Step 4: Simplify right side
    22,662.92x = 428,581,369.38
  5. Step 5: Solve for x
    x = 428,581,369.38/22,662.92
  6. Step 6: Final answer
    x = 18,911.13

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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.