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Finding the Fourth Proportional to 21,461.81, 29,616.47 and 11,902.09

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Solution

The fourth proportional to 21,461.81, 29,616.47 and 11,902.09 is: 16,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.81 : 29,616.47 = 11,902.09 : x
  2. Step 2: Convert to fraction form
    21,461.81/29,616.47 = 11,902.09/x
  3. Step 3: Cross multiply
    21,461.81x = 29,616.47 × 11,902.09
  4. Step 4: Simplify right side
    21,461.81x = 352,497,683.83
  5. Step 5: Solve for x
    x = 352,497,683.83/21,461.81
  6. Step 6: Final answer
    x = 16,424.42

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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.