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Finding the Fourth Proportional to 23,234.31, 34,887.00 and 20,484.16

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Solution

The fourth proportional to 23,234.31, 34,887.00 and 20,484.16 is: 30,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.31 : 34,887.00 = 20,484.16 : x
  2. Step 2: Convert to fraction form
    23,234.31/34,887.00 = 20,484.16/x
  3. Step 3: Cross multiply
    23,234.31x = 34,887.00 × 20,484.16
  4. Step 4: Simplify right side
    23,234.31x = 714,630,879.52
  5. Step 5: Solve for x
    x = 714,630,879.52/23,234.31
  6. Step 6: Final answer
    x = 30,757.57

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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.