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Finding the Fourth Proportional to 27,810.26, 41,719.94 and 9,084.86

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Solution

The fourth proportional to 27,810.26, 41,719.94 and 9,084.86 is: 13,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,810.26 : 41,719.94 = 9,084.86 : x
  2. Step 2: Convert to fraction form
    27,810.26/41,719.94 = 9,084.86/x
  3. Step 3: Cross multiply
    27,810.26x = 41,719.94 × 9,084.86
  4. Step 4: Simplify right side
    27,810.26x = 379,019,941.12
  5. Step 5: Solve for x
    x = 379,019,941.12/27,810.26
  6. Step 6: Final answer
    x = 13,628.78

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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.