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Finding the Fourth Proportional to 21,462.47, 29,616.25 and 11,902.31

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Solution

The fourth proportional to 21,462.47, 29,616.25 and 11,902.31 is: 16,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.47 : 29,616.25 = 11,902.31 : x
  2. Step 2: Convert to fraction form
    21,462.47/29,616.25 = 11,902.31/x
  3. Step 3: Cross multiply
    21,462.47x = 29,616.25 × 11,902.31
  4. Step 4: Simplify right side
    21,462.47x = 352,501,788.54
  5. Step 5: Solve for x
    x = 352,501,788.54/21,462.47
  6. Step 6: Final answer
    x = 16,424.10

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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.