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Finding the Fourth Proportional to 20,464.64, 30,696.96 and 6,614.72

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Solution

The fourth proportional to 20,464.64, 30,696.96 and 6,614.72 is: 9,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464.64 : 30,696.96 = 6,614.72 : x
  2. Step 2: Convert to fraction form
    20,464.64/30,696.96 = 6,614.72/x
  3. Step 3: Cross multiply
    20,464.64x = 30,696.96 × 6,614.72
  4. Step 4: Simplify right side
    20,464.64x = 203,051,795.25
  5. Step 5: Solve for x
    x = 203,051,795.25/20,464.64
  6. Step 6: Final answer
    x = 9,922.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.