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Finding the Fourth Proportional to 13,422.17, 20,138.15 and 6,491.81

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Solution

The fourth proportional to 13,422.17, 20,138.15 and 6,491.81 is: 9,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.17 : 20,138.15 = 6,491.81 : x
  2. Step 2: Convert to fraction form
    13,422.17/20,138.15 = 6,491.81/x
  3. Step 3: Cross multiply
    13,422.17x = 20,138.15 × 6,491.81
  4. Step 4: Simplify right side
    13,422.17x = 130,733,110.13
  5. Step 5: Solve for x
    x = 130,733,110.13/13,422.17
  6. Step 6: Final answer
    x = 9,740.09

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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.