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Finding the Fourth Proportional to 21,288.26, 29,374.17 and 11,855

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Solution

The fourth proportional to 21,288.26, 29,374.17 and 11,855 is: 16,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,288.26 : 29,374.17 = 11,855 : x
  2. Step 2: Convert to fraction form
    21,288.26/29,374.17 = 11,855/x
  3. Step 3: Cross multiply
    21,288.26x = 29,374.17 × 11,855
  4. Step 4: Simplify right side
    21,288.26x = 348,230,785.35
  5. Step 5: Solve for x
    x = 348,230,785.35/21,288.26
  6. Step 6: Final answer
    x = 16,357.88

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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.