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Finding the Fourth Proportional to 20,438.72, 30,650.40 and 6,584

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Solution

The fourth proportional to 20,438.72, 30,650.40 and 6,584 is: 9,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.72 : 30,650.40 = 6,584 : x
  2. Step 2: Convert to fraction form
    20,438.72/30,650.40 = 6,584/x
  3. Step 3: Cross multiply
    20,438.72x = 30,650.40 × 6,584
  4. Step 4: Simplify right side
    20,438.72x = 201,802,233.60
  5. Step 5: Solve for x
    x = 201,802,233.60/20,438.72
  6. Step 6: Final answer
    x = 9,873.53

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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.