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Finding the Fourth Proportional to 13,422.81, 20,126.24 and 5,103.43

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Solution

The fourth proportional to 13,422.81, 20,126.24 and 5,103.43 is: 7,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.81 : 20,126.24 = 5,103.43 : x
  2. Step 2: Convert to fraction form
    13,422.81/20,126.24 = 5,103.43/x
  3. Step 3: Cross multiply
    13,422.81x = 20,126.24 × 5,103.43
  4. Step 4: Simplify right side
    13,422.81x = 102,712,916.53
  5. Step 5: Solve for x
    x = 102,712,916.53/13,422.81
  6. Step 6: Final answer
    x = 7,652.12

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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.