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Finding the Fourth Proportional to 23,174.11, 31,980.04 and 12,563.56

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Solution

The fourth proportional to 23,174.11, 31,980.04 and 12,563.56 is: 17,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.11 : 31,980.04 = 12,563.56 : x
  2. Step 2: Convert to fraction form
    23,174.11/31,980.04 = 12,563.56/x
  3. Step 3: Cross multiply
    23,174.11x = 31,980.04 × 12,563.56
  4. Step 4: Simplify right side
    23,174.11x = 401,783,151.34
  5. Step 5: Solve for x
    x = 401,783,151.34/23,174.11
  6. Step 6: Final answer
    x = 17,337.59

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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.