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Finding the Fourth Proportional to 21,683.57, 32,525.45 and 6,690.50

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Solution

The fourth proportional to 21,683.57, 32,525.45 and 6,690.50 is: 10,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.57 : 32,525.45 = 6,690.50 : x
  2. Step 2: Convert to fraction form
    21,683.57/32,525.45 = 6,690.50/x
  3. Step 3: Cross multiply
    21,683.57x = 32,525.45 × 6,690.50
  4. Step 4: Simplify right side
    21,683.57x = 217,611,474.21
  5. Step 5: Solve for x
    x = 217,611,474.21/21,683.57
  6. Step 6: Final answer
    x = 10,035.78

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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.