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Finding the Fourth Proportional to 21,601.57, 32,402.51 and 6,811.68

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Solution

The fourth proportional to 21,601.57, 32,402.51 and 6,811.68 is: 10,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,601.57 : 32,402.51 = 6,811.68 : x
  2. Step 2: Convert to fraction form
    21,601.57/32,402.51 = 6,811.68/x
  3. Step 3: Cross multiply
    21,601.57x = 32,402.51 × 6,811.68
  4. Step 4: Simplify right side
    21,601.57x = 220,715,529.32
  5. Step 5: Solve for x
    x = 220,715,529.32/21,601.57
  6. Step 6: Final answer
    x = 10,217.57

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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.