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Finding the Fourth Proportional to 21,462.30, 29,617.44 and 11,902.22

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Solution

The fourth proportional to 21,462.30, 29,617.44 and 11,902.22 is: 16,424.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.30 : 29,617.44 = 11,902.22 : x
  2. Step 2: Convert to fraction form
    21,462.30/29,617.44 = 11,902.22/x
  3. Step 3: Cross multiply
    21,462.30x = 29,617.44 × 11,902.22
  4. Step 4: Simplify right side
    21,462.30x = 352,513,286.72
  5. Step 5: Solve for x
    x = 352,513,286.72/21,462.30
  6. Step 6: Final answer
    x = 16,424.77

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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.