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Finding the Fourth Proportional to 19,672.54, 29,508.78 and 6,164.75

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Solution

The fourth proportional to 19,672.54, 29,508.78 and 6,164.75 is: 9,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.54 : 29,508.78 = 6,164.75 : x
  2. Step 2: Convert to fraction form
    19,672.54/29,508.78 = 6,164.75/x
  3. Step 3: Cross multiply
    19,672.54x = 29,508.78 × 6,164.75
  4. Step 4: Simplify right side
    19,672.54x = 181,914,073.14
  5. Step 5: Solve for x
    x = 181,914,073.14/19,672.54
  6. Step 6: Final answer
    x = 9,247.11

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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.