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Finding the Fourth Proportional to 23,901.12, 35,851.68 and 8,314.56

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Solution

The fourth proportional to 23,901.12, 35,851.68 and 8,314.56 is: 12,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901.12 : 35,851.68 = 8,314.56 : x
  2. Step 2: Convert to fraction form
    23,901.12/35,851.68 = 8,314.56/x
  3. Step 3: Cross multiply
    23,901.12x = 35,851.68 × 8,314.56
  4. Step 4: Simplify right side
    23,901.12x = 298,090,944.46
  5. Step 5: Solve for x
    x = 298,090,944.46/23,901.12
  6. Step 6: Final answer
    x = 12,471.84

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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.