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Finding the Fourth Proportional to 21,164.52, 29,207.04 and 11,733

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Solution

The fourth proportional to 21,164.52, 29,207.04 and 11,733 is: 16,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.52 : 29,207.04 = 11,733 : x
  2. Step 2: Convert to fraction form
    21,164.52/29,207.04 = 11,733/x
  3. Step 3: Cross multiply
    21,164.52x = 29,207.04 × 11,733
  4. Step 4: Simplify right side
    21,164.52x = 342,686,200.32
  5. Step 5: Solve for x
    x = 342,686,200.32/21,164.52
  6. Step 6: Final answer
    x = 16,191.54

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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.