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Finding the Fourth Proportional to 19,504.38, 29,259 and 6,353.22

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Solution

The fourth proportional to 19,504.38, 29,259 and 6,353.22 is: 9,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504.38 : 29,259 = 6,353.22 : x
  2. Step 2: Convert to fraction form
    19,504.38/29,259 = 6,353.22/x
  3. Step 3: Cross multiply
    19,504.38x = 29,259 × 6,353.22
  4. Step 4: Simplify right side
    19,504.38x = 185,888,863.98
  5. Step 5: Solve for x
    x = 185,888,863.98/19,504.38
  6. Step 6: Final answer
    x = 9,530.62

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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.