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Finding the Fourth Proportional to 21,164.18, 29,205.24 and 11,732

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Solution

The fourth proportional to 21,164.18, 29,205.24 and 11,732 is: 16,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.18 : 29,205.24 = 11,732 : x
  2. Step 2: Convert to fraction form
    21,164.18/29,205.24 = 11,732/x
  3. Step 3: Cross multiply
    21,164.18x = 29,205.24 × 11,732
  4. Step 4: Simplify right side
    21,164.18x = 342,635,875.68
  5. Step 5: Solve for x
    x = 342,635,875.68/21,164.18
  6. Step 6: Final answer
    x = 16,189.42

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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.