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Finding the Fourth Proportional to 19,502.08, 29,256 and 5,649.28

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Solution

The fourth proportional to 19,502.08, 29,256 and 5,649.28 is: 8,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502.08 : 29,256 = 5,649.28 : x
  2. Step 2: Convert to fraction form
    19,502.08/29,256 = 5,649.28/x
  3. Step 3: Cross multiply
    19,502.08x = 29,256 × 5,649.28
  4. Step 4: Simplify right side
    19,502.08x = 165,275,335.68
  5. Step 5: Solve for x
    x = 165,275,335.68/19,502.08
  6. Step 6: Final answer
    x = 8,474.75

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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.