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Finding the Fourth Proportional to 11,697.81, 17,548.46 and 4,301.70

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Solution

The fourth proportional to 11,697.81, 17,548.46 and 4,301.70 is: 6,453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.81 : 17,548.46 = 4,301.70 : x
  2. Step 2: Convert to fraction form
    11,697.81/17,548.46 = 4,301.70/x
  3. Step 3: Cross multiply
    11,697.81x = 17,548.46 × 4,301.70
  4. Step 4: Simplify right side
    11,697.81x = 75,488,188.87
  5. Step 5: Solve for x
    x = 75,488,188.87/11,697.81
  6. Step 6: Final answer
    x = 6,453.19

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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.