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Finding the Fourth Proportional to 21,533.31, 32,299.96 and 6,743.38

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Solution

The fourth proportional to 21,533.31, 32,299.96 and 6,743.38 is: 10,115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.31 : 32,299.96 = 6,743.38 : x
  2. Step 2: Convert to fraction form
    21,533.31/32,299.96 = 6,743.38/x
  3. Step 3: Cross multiply
    21,533.31x = 32,299.96 × 6,743.38
  4. Step 4: Simplify right side
    21,533.31x = 217,810,904.26
  5. Step 5: Solve for x
    x = 217,810,904.26/21,533.31
  6. Step 6: Final answer
    x = 10,115.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.