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Finding the Fourth Proportional to 22,178.96, 33,283.04 and 12,694.64

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Solution

The fourth proportional to 22,178.96, 33,283.04 and 12,694.64 is: 19,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178.96 : 33,283.04 = 12,694.64 : x
  2. Step 2: Convert to fraction form
    22,178.96/33,283.04 = 12,694.64/x
  3. Step 3: Cross multiply
    22,178.96x = 33,283.04 × 12,694.64
  4. Step 4: Simplify right side
    22,178.96x = 422,516,210.91
  5. Step 5: Solve for x
    x = 422,516,210.91/22,178.96
  6. Step 6: Final answer
    x = 19,050.32

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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.