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Finding the Fourth Proportional to 27,685.94, 41,535.51 and 8,965.99

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Solution

The fourth proportional to 27,685.94, 41,535.51 and 8,965.99 is: 13,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.94 : 41,535.51 = 8,965.99 : x
  2. Step 2: Convert to fraction form
    27,685.94/41,535.51 = 8,965.99/x
  3. Step 3: Cross multiply
    27,685.94x = 41,535.51 × 8,965.99
  4. Step 4: Simplify right side
    27,685.94x = 372,406,967.30
  5. Step 5: Solve for x
    x = 372,406,967.30/27,685.94
  6. Step 6: Final answer
    x = 13,451.12

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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.