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Finding the Fourth Proportional to 21,833.26, 30,129.88 and 11,897.26

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Solution

The fourth proportional to 21,833.26, 30,129.88 and 11,897.26 is: 16,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.26 : 30,129.88 = 11,897.26 : x
  2. Step 2: Convert to fraction form
    21,833.26/30,129.88 = 11,897.26/x
  3. Step 3: Cross multiply
    21,833.26x = 30,129.88 × 11,897.26
  4. Step 4: Simplify right side
    21,833.26x = 358,463,016.13
  5. Step 5: Solve for x
    x = 358,463,016.13/21,833.26
  6. Step 6: Final answer
    x = 16,418.21

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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.