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Finding the Fourth Proportional to 21,194.36, 29,239.08 and 12,806

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Solution

The fourth proportional to 21,194.36, 29,239.08 and 12,806 is: 17,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.36 : 29,239.08 = 12,806 : x
  2. Step 2: Convert to fraction form
    21,194.36/29,239.08 = 12,806/x
  3. Step 3: Cross multiply
    21,194.36x = 29,239.08 × 12,806
  4. Step 4: Simplify right side
    21,194.36x = 374,435,658.48
  5. Step 5: Solve for x
    x = 374,435,658.48/21,194.36
  6. Step 6: Final answer
    x = 17,666.76

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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.