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Finding the Fourth Proportional to 20,764.32, 31,158.93 and 7,618.02

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Solution

The fourth proportional to 20,764.32, 31,158.93 and 7,618.02 is: 11,431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764.32 : 31,158.93 = 7,618.02 : x
  2. Step 2: Convert to fraction form
    20,764.32/31,158.93 = 7,618.02/x
  3. Step 3: Cross multiply
    20,764.32x = 31,158.93 × 7,618.02
  4. Step 4: Simplify right side
    20,764.32x = 237,369,351.92
  5. Step 5: Solve for x
    x = 237,369,351.92/20,764.32
  6. Step 6: Final answer
    x = 11,431.60

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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.