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Finding the Fourth Proportional to 20,322.76, 30,485.50 and 7,842.92

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Solution

The fourth proportional to 20,322.76, 30,485.50 and 7,842.92 is: 11,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322.76 : 30,485.50 = 7,842.92 : x
  2. Step 2: Convert to fraction form
    20,322.76/30,485.50 = 7,842.92/x
  3. Step 3: Cross multiply
    20,322.76x = 30,485.50 × 7,842.92
  4. Step 4: Simplify right side
    20,322.76x = 239,095,337.66
  5. Step 5: Solve for x
    x = 239,095,337.66/20,322.76
  6. Step 6: Final answer
    x = 11,764.90

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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.