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Finding the Fourth Proportional to 21,910.87, 32,875.37 and 10,507.02

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Solution

The fourth proportional to 21,910.87, 32,875.37 and 10,507.02 is: 15,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910.87 : 32,875.37 = 10,507.02 : x
  2. Step 2: Convert to fraction form
    21,910.87/32,875.37 = 10,507.02/x
  3. Step 3: Cross multiply
    21,910.87x = 32,875.37 × 10,507.02
  4. Step 4: Simplify right side
    21,910.87x = 345,422,033.68
  5. Step 5: Solve for x
    x = 345,422,033.68/21,910.87
  6. Step 6: Final answer
    x = 15,764.87

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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.