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Finding the Fourth Proportional to 13,416.72, 20,126.64 and 5,103

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Solution

The fourth proportional to 13,416.72, 20,126.64 and 5,103 is: 7,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.72 : 20,126.64 = 5,103 : x
  2. Step 2: Convert to fraction form
    13,416.72/20,126.64 = 5,103/x
  3. Step 3: Cross multiply
    13,416.72x = 20,126.64 × 5,103
  4. Step 4: Simplify right side
    13,416.72x = 102,706,243.92
  5. Step 5: Solve for x
    x = 102,706,243.92/13,416.72
  6. Step 6: Final answer
    x = 7,655.09

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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.