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Finding the Fourth Proportional to 20,638.71, 30,948.62 and 6,596.01

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Solution

The fourth proportional to 20,638.71, 30,948.62 and 6,596.01 is: 9,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.71 : 30,948.62 = 6,596.01 : x
  2. Step 2: Convert to fraction form
    20,638.71/30,948.62 = 6,596.01/x
  3. Step 3: Cross multiply
    20,638.71x = 30,948.62 × 6,596.01
  4. Step 4: Simplify right side
    20,638.71x = 204,137,374.03
  5. Step 5: Solve for x
    x = 204,137,374.03/20,638.71
  6. Step 6: Final answer
    x = 9,890.99

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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.