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Finding the Fourth Proportional to 21,454.38, 29,608.80 and 11,897.27

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Solution

The fourth proportional to 21,454.38, 29,608.80 and 11,897.27 is: 16,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.38 : 29,608.80 = 11,897.27 : x
  2. Step 2: Convert to fraction form
    21,454.38/29,608.80 = 11,897.27/x
  3. Step 3: Cross multiply
    21,454.38x = 29,608.80 × 11,897.27
  4. Step 4: Simplify right side
    21,454.38x = 352,263,695.32
  5. Step 5: Solve for x
    x = 352,263,695.32/21,454.38
  6. Step 6: Final answer
    x = 16,419.19

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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.