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Finding the Fourth Proportional to 15,753.96, 23,634.27 and 13,174.92

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Solution

The fourth proportional to 15,753.96, 23,634.27 and 13,174.92 is: 19,765.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,753.96 : 23,634.27 = 13,174.92 : x
  2. Step 2: Convert to fraction form
    15,753.96/23,634.27 = 13,174.92/x
  3. Step 3: Cross multiply
    15,753.96x = 23,634.27 × 13,174.92
  4. Step 4: Simplify right side
    15,753.96x = 311,379,616.51
  5. Step 5: Solve for x
    x = 311,379,616.51/15,753.96
  6. Step 6: Final answer
    x = 19,765.16

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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.