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Finding the Fourth Proportional to 21,513.22, 32,250.39 and 7,652.50

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Solution

The fourth proportional to 21,513.22, 32,250.39 and 7,652.50 is: 11,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,513.22 : 32,250.39 = 7,652.50 : x
  2. Step 2: Convert to fraction form
    21,513.22/32,250.39 = 7,652.50/x
  3. Step 3: Cross multiply
    21,513.22x = 32,250.39 × 7,652.50
  4. Step 4: Simplify right side
    21,513.22x = 246,796,109.48
  5. Step 5: Solve for x
    x = 246,796,109.48/21,513.22
  6. Step 6: Final answer
    x = 11,471.83

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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.