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Finding the Fourth Proportional to 21,164, 29,206.32 and 11,734

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Solution

The fourth proportional to 21,164, 29,206.32 and 11,734 is: 16,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164 : 29,206.32 = 11,734 : x
  2. Step 2: Convert to fraction form
    21,164/29,206.32 = 11,734/x
  3. Step 3: Cross multiply
    21,164x = 29,206.32 × 11,734
  4. Step 4: Simplify right side
    21,164x = 342,706,958.88
  5. Step 5: Solve for x
    x = 342,706,958.88/21,164
  6. Step 6: Final answer
    x = 16,192.92

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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.