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Finding the Fourth Proportional to 27,203.50, 40,805.52 and 9,674.02

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Solution

The fourth proportional to 27,203.50, 40,805.52 and 9,674.02 is: 14,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,203.50 : 40,805.52 = 9,674.02 : x
  2. Step 2: Convert to fraction form
    27,203.50/40,805.52 = 9,674.02/x
  3. Step 3: Cross multiply
    27,203.50x = 40,805.52 × 9,674.02
  4. Step 4: Simplify right side
    27,203.50x = 394,753,416.59
  5. Step 5: Solve for x
    x = 394,753,416.59/27,203.50
  6. Step 6: Final answer
    x = 14,511.13

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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.