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Finding the Fourth Proportional to 27,971.54, 41,947.23 and 9,499.22

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Solution

The fourth proportional to 27,971.54, 41,947.23 and 9,499.22 is: 14,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.54 : 41,947.23 = 9,499.22 : x
  2. Step 2: Convert to fraction form
    27,971.54/41,947.23 = 9,499.22/x
  3. Step 3: Cross multiply
    27,971.54x = 41,947.23 × 9,499.22
  4. Step 4: Simplify right side
    27,971.54x = 398,465,966.16
  5. Step 5: Solve for x
    x = 398,465,966.16/27,971.54
  6. Step 6: Final answer
    x = 14,245.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.