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Finding the Fourth Proportional to 17,177.81, 25,778.25 and 6,084.45

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Solution

The fourth proportional to 17,177.81, 25,778.25 and 6,084.45 is: 9,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,177.81 : 25,778.25 = 6,084.45 : x
  2. Step 2: Convert to fraction form
    17,177.81/25,778.25 = 6,084.45/x
  3. Step 3: Cross multiply
    17,177.81x = 25,778.25 × 6,084.45
  4. Step 4: Simplify right side
    17,177.81x = 156,846,473.21
  5. Step 5: Solve for x
    x = 156,846,473.21/17,177.81
  6. Step 6: Final answer
    x = 9,130.76

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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.