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Finding the Fourth Proportional to 23,798.28, 35,684.94 and 8,212.32

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Solution

The fourth proportional to 23,798.28, 35,684.94 and 8,212.32 is: 12,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.28 : 35,684.94 = 8,212.32 : x
  2. Step 2: Convert to fraction form
    23,798.28/35,684.94 = 8,212.32/x
  3. Step 3: Cross multiply
    23,798.28x = 35,684.94 × 8,212.32
  4. Step 4: Simplify right side
    23,798.28x = 293,056,146.46
  5. Step 5: Solve for x
    x = 293,056,146.46/23,798.28
  6. Step 6: Final answer
    x = 12,314.17

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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.