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Finding the Fourth Proportional to 21,901.60, 32,814.60 and 10,190.80

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Solution

The fourth proportional to 21,901.60, 32,814.60 and 10,190.80 is: 15,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,901.60 : 32,814.60 = 10,190.80 : x
  2. Step 2: Convert to fraction form
    21,901.60/32,814.60 = 10,190.80/x
  3. Step 3: Cross multiply
    21,901.60x = 32,814.60 × 10,190.80
  4. Step 4: Simplify right side
    21,901.60x = 334,407,025.68
  5. Step 5: Solve for x
    x = 334,407,025.68/21,901.60
  6. Step 6: Final answer
    x = 15,268.61

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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.