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Finding the Fourth Proportional to 22,181.61, 33,246.87 and 9,698.70

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Solution

The fourth proportional to 22,181.61, 33,246.87 and 9,698.70 is: 14,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,181.61 : 33,246.87 = 9,698.70 : x
  2. Step 2: Convert to fraction form
    22,181.61/33,246.87 = 9,698.70/x
  3. Step 3: Cross multiply
    22,181.61x = 33,246.87 × 9,698.70
  4. Step 4: Simplify right side
    22,181.61x = 322,451,418.07
  5. Step 5: Solve for x
    x = 322,451,418.07/22,181.61
  6. Step 6: Final answer
    x = 14,536.88

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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.