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Finding the Fourth Proportional to 27,943.68, 41,892.95 and 9,212.02

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Solution

The fourth proportional to 27,943.68, 41,892.95 and 9,212.02 is: 13,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,943.68 : 41,892.95 = 9,212.02 : x
  2. Step 2: Convert to fraction form
    27,943.68/41,892.95 = 9,212.02/x
  3. Step 3: Cross multiply
    27,943.68x = 41,892.95 × 9,212.02
  4. Step 4: Simplify right side
    27,943.68x = 385,918,647.20
  5. Step 5: Solve for x
    x = 385,918,647.20/27,943.68
  6. Step 6: Final answer
    x = 13,810.59

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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.