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Finding the Fourth Proportional to 27,203.94, 40,805.10 and 9,661.50

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Solution

The fourth proportional to 27,203.94, 40,805.10 and 9,661.50 is: 14,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,203.94 : 40,805.10 = 9,661.50 : x
  2. Step 2: Convert to fraction form
    27,203.94/40,805.10 = 9,661.50/x
  3. Step 3: Cross multiply
    27,203.94x = 40,805.10 × 9,661.50
  4. Step 4: Simplify right side
    27,203.94x = 394,238,473.65
  5. Step 5: Solve for x
    x = 394,238,473.65/27,203.94
  6. Step 6: Final answer
    x = 14,491.96

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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.