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Finding the Fourth Proportional to 23,183.34, 31,993.01 and 12,573

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Solution

The fourth proportional to 23,183.34, 31,993.01 and 12,573 is: 17,350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,183.34 : 31,993.01 = 12,573 : x
  2. Step 2: Convert to fraction form
    23,183.34/31,993.01 = 12,573/x
  3. Step 3: Cross multiply
    23,183.34x = 31,993.01 × 12,573
  4. Step 4: Simplify right side
    23,183.34x = 402,248,114.73
  5. Step 5: Solve for x
    x = 402,248,114.73/23,183.34
  6. Step 6: Final answer
    x = 17,350.74

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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.