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Finding the Fourth Proportional to 27,967.79, 41,966.27 and 11,340.11

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Solution

The fourth proportional to 27,967.79, 41,966.27 and 11,340.11 is: 17,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.79 : 41,966.27 = 11,340.11 : x
  2. Step 2: Convert to fraction form
    27,967.79/41,966.27 = 11,340.11/x
  3. Step 3: Cross multiply
    27,967.79x = 41,966.27 × 11,340.11
  4. Step 4: Simplify right side
    27,967.79x = 475,901,851.56
  5. Step 5: Solve for x
    x = 475,901,851.56/27,967.79
  6. Step 6: Final answer
    x = 17,016.07

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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.