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Finding the Fourth Proportional to 27,606.47, 41,409.59 and 6,829.97

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Solution

The fourth proportional to 27,606.47, 41,409.59 and 6,829.97 is: 10,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,606.47 : 41,409.59 = 6,829.97 : x
  2. Step 2: Convert to fraction form
    27,606.47/41,409.59 = 6,829.97/x
  3. Step 3: Cross multiply
    27,606.47x = 41,409.59 × 6,829.97
  4. Step 4: Simplify right side
    27,606.47x = 282,826,016.21
  5. Step 5: Solve for x
    x = 282,826,016.21/27,606.47
  6. Step 6: Final answer
    x = 10,244.92

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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.