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Finding the Fourth Proportional to 22,686.57, 31,302.36 and 13,733.99

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Solution

The fourth proportional to 22,686.57, 31,302.36 and 13,733.99 is: 18,949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.57 : 31,302.36 = 13,733.99 : x
  2. Step 2: Convert to fraction form
    22,686.57/31,302.36 = 13,733.99/x
  3. Step 3: Cross multiply
    22,686.57x = 31,302.36 × 13,733.99
  4. Step 4: Simplify right side
    22,686.57x = 429,906,299.22
  5. Step 5: Solve for x
    x = 429,906,299.22/22,686.57
  6. Step 6: Final answer
    x = 18,949.81

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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.