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Finding the Fourth Proportional to 22,642.77, 31,247.24 and 13,696.26

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Solution

The fourth proportional to 22,642.77, 31,247.24 and 13,696.26 is: 18,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.77 : 31,247.24 = 13,696.26 : x
  2. Step 2: Convert to fraction form
    22,642.77/31,247.24 = 13,696.26/x
  3. Step 3: Cross multiply
    22,642.77x = 31,247.24 × 13,696.26
  4. Step 4: Simplify right side
    22,642.77x = 427,970,137.66
  5. Step 5: Solve for x
    x = 427,970,137.66/22,642.77
  6. Step 6: Final answer
    x = 18,900.96

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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.