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Finding the Fourth Proportional to 21,371.76, 29,494.68 and 12,422.16

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Solution

The fourth proportional to 21,371.76, 29,494.68 and 12,422.16 is: 17,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,371.76 : 29,494.68 = 12,422.16 : x
  2. Step 2: Convert to fraction form
    21,371.76/29,494.68 = 12,422.16/x
  3. Step 3: Cross multiply
    21,371.76x = 29,494.68 × 12,422.16
  4. Step 4: Simplify right side
    21,371.76x = 366,387,634.11
  5. Step 5: Solve for x
    x = 366,387,634.11/21,371.76
  6. Step 6: Final answer
    x = 17,143.54

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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.