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Finding the Fourth Proportional to 20,697.96, 31,024.26 and 9,601.32

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Solution

The fourth proportional to 20,697.96, 31,024.26 and 9,601.32 is: 14,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.96 : 31,024.26 = 9,601.32 : x
  2. Step 2: Convert to fraction form
    20,697.96/31,024.26 = 9,601.32/x
  3. Step 3: Cross multiply
    20,697.96x = 31,024.26 × 9,601.32
  4. Step 4: Simplify right side
    20,697.96x = 297,873,848.02
  5. Step 5: Solve for x
    x = 297,873,848.02/20,697.96
  6. Step 6: Final answer
    x = 14,391.46

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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.