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Finding the Fourth Proportional to 21,452.38, 29,603.81 and 11,892.22

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Solution

The fourth proportional to 21,452.38, 29,603.81 and 11,892.22 is: 16,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,452.38 : 29,603.81 = 11,892.22 : x
  2. Step 2: Convert to fraction form
    21,452.38/29,603.81 = 11,892.22/x
  3. Step 3: Cross multiply
    21,452.38x = 29,603.81 × 11,892.22
  4. Step 4: Simplify right side
    21,452.38x = 352,054,977.08
  5. Step 5: Solve for x
    x = 352,054,977.08/21,452.38
  6. Step 6: Final answer
    x = 16,411.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.