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Finding the Fourth Proportional to 22,312.28, 33,473.22 and 8,461.28

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Solution

The fourth proportional to 22,312.28, 33,473.22 and 8,461.28 is: 12,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312.28 : 33,473.22 = 8,461.28 : x
  2. Step 2: Convert to fraction form
    22,312.28/33,473.22 = 8,461.28/x
  3. Step 3: Cross multiply
    22,312.28x = 33,473.22 × 8,461.28
  4. Step 4: Simplify right side
    22,312.28x = 283,226,286.92
  5. Step 5: Solve for x
    x = 283,226,286.92/22,312.28
  6. Step 6: Final answer
    x = 12,693.74

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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.