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Finding the Fourth Proportional to 22,617, 31,211.46 and 13,183.74

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Solution

The fourth proportional to 22,617, 31,211.46 and 13,183.74 is: 18,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617 : 31,211.46 = 13,183.74 : x
  2. Step 2: Convert to fraction form
    22,617/31,211.46 = 13,183.74/x
  3. Step 3: Cross multiply
    22,617x = 31,211.46 × 13,183.74
  4. Step 4: Simplify right side
    22,617x = 411,483,773.66
  5. Step 5: Solve for x
    x = 411,483,773.66/22,617
  6. Step 6: Final answer
    x = 18,193.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.