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Finding the Fourth Proportional to 22,924.96, 31,642.44 and 13,496.56

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Solution

The fourth proportional to 22,924.96, 31,642.44 and 13,496.56 is: 18,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,924.96 : 31,642.44 = 13,496.56 : x
  2. Step 2: Convert to fraction form
    22,924.96/31,642.44 = 13,496.56/x
  3. Step 3: Cross multiply
    22,924.96x = 31,642.44 × 13,496.56
  4. Step 4: Simplify right side
    22,924.96x = 427,064,090.01
  5. Step 5: Solve for x
    x = 427,064,090.01/22,924.96
  6. Step 6: Final answer
    x = 18,628.78

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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.