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Finding the Fourth Proportional to 20,697.32, 31,038.94 and 6,842.92

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Solution

The fourth proportional to 20,697.32, 31,038.94 and 6,842.92 is: 10,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.32 : 31,038.94 = 6,842.92 : x
  2. Step 2: Convert to fraction form
    20,697.32/31,038.94 = 6,842.92/x
  3. Step 3: Cross multiply
    20,697.32x = 31,038.94 × 6,842.92
  4. Step 4: Simplify right side
    20,697.32x = 212,396,983.30
  5. Step 5: Solve for x
    x = 212,396,983.30/20,697.32
  6. Step 6: Final answer
    x = 10,262.05

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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.