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Finding the Fourth Proportional to 27,797.91, 41,703.51 and 9,077.98

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Solution

The fourth proportional to 27,797.91, 41,703.51 and 9,077.98 is: 13,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.91 : 41,703.51 = 9,077.98 : x
  2. Step 2: Convert to fraction form
    27,797.91/41,703.51 = 9,077.98/x
  3. Step 3: Cross multiply
    27,797.91x = 41,703.51 × 9,077.98
  4. Step 4: Simplify right side
    27,797.91x = 378,583,629.71
  5. Step 5: Solve for x
    x = 378,583,629.71/27,797.91
  6. Step 6: Final answer
    x = 13,619.14

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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.