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Finding the Fourth Proportional to 27,732.81, 41,606.51 and 9,965.26

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Solution

The fourth proportional to 27,732.81, 41,606.51 and 9,965.26 is: 14,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732.81 : 41,606.51 = 9,965.26 : x
  2. Step 2: Convert to fraction form
    27,732.81/41,606.51 = 9,965.26/x
  3. Step 3: Cross multiply
    27,732.81x = 41,606.51 × 9,965.26
  4. Step 4: Simplify right side
    27,732.81x = 414,619,689.84
  5. Step 5: Solve for x
    x = 414,619,689.84/27,732.81
  6. Step 6: Final answer
    x = 14,950.51

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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.