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Finding the Fourth Proportional to 20,676.65, 31,022.24 and 7,530.35

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Solution

The fourth proportional to 20,676.65, 31,022.24 and 7,530.35 is: 11,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676.65 : 31,022.24 = 7,530.35 : x
  2. Step 2: Convert to fraction form
    20,676.65/31,022.24 = 7,530.35/x
  3. Step 3: Cross multiply
    20,676.65x = 31,022.24 × 7,530.35
  4. Step 4: Simplify right side
    20,676.65x = 233,608,132.22
  5. Step 5: Solve for x
    x = 233,608,132.22/20,676.65
  6. Step 6: Final answer
    x = 11,298.16

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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.