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Finding the Fourth Proportional to 21,520.47, 32,280.72 and 7,659.75

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Solution

The fourth proportional to 21,520.47, 32,280.72 and 7,659.75 is: 11,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,520.47 : 32,280.72 = 7,659.75 : x
  2. Step 2: Convert to fraction form
    21,520.47/32,280.72 = 7,659.75/x
  3. Step 3: Cross multiply
    21,520.47x = 32,280.72 × 7,659.75
  4. Step 4: Simplify right side
    21,520.47x = 247,262,245.02
  5. Step 5: Solve for x
    x = 247,262,245.02/21,520.47
  6. Step 6: Final answer
    x = 11,489.63

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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.