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Finding the Fourth Proportional to 12,535, 18,805.38 and 4,327

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Solution

The fourth proportional to 12,535, 18,805.38 and 4,327 is: 6,491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535 : 18,805.38 = 4,327 : x
  2. Step 2: Convert to fraction form
    12,535/18,805.38 = 4,327/x
  3. Step 3: Cross multiply
    12,535x = 18,805.38 × 4,327
  4. Step 4: Simplify right side
    12,535x = 81,370,879.26
  5. Step 5: Solve for x
    x = 81,370,879.26/12,535
  6. Step 6: Final answer
    x = 6,491.49

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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.