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Finding the Fourth Proportional to 20,924.64, 31,367.16 and 7,768.08

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Solution

The fourth proportional to 20,924.64, 31,367.16 and 7,768.08 is: 11,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924.64 : 31,367.16 = 7,768.08 : x
  2. Step 2: Convert to fraction form
    20,924.64/31,367.16 = 7,768.08/x
  3. Step 3: Cross multiply
    20,924.64x = 31,367.16 × 7,768.08
  4. Step 4: Simplify right side
    20,924.64x = 243,662,608.25
  5. Step 5: Solve for x
    x = 243,662,608.25/20,924.64
  6. Step 6: Final answer
    x = 11,644.77

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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.