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Finding the Fourth Proportional to 27,683.70, 41,497.20 and 13,622.10

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Solution

The fourth proportional to 27,683.70, 41,497.20 and 13,622.10 is: 20,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.70 : 41,497.20 = 13,622.10 : x
  2. Step 2: Convert to fraction form
    27,683.70/41,497.20 = 13,622.10/x
  3. Step 3: Cross multiply
    27,683.70x = 41,497.20 × 13,622.10
  4. Step 4: Simplify right side
    27,683.70x = 565,279,008.12
  5. Step 5: Solve for x
    x = 565,279,008.12/27,683.70
  6. Step 6: Final answer
    x = 20,419.20

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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.