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Finding the Fourth Proportional to 22,511.66, 33,771.74 and 7,722.68

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Solution

The fourth proportional to 22,511.66, 33,771.74 and 7,722.68 is: 11,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.66 : 33,771.74 = 7,722.68 : x
  2. Step 2: Convert to fraction form
    22,511.66/33,771.74 = 7,722.68/x
  3. Step 3: Cross multiply
    22,511.66x = 33,771.74 × 7,722.68
  4. Step 4: Simplify right side
    22,511.66x = 260,808,133.59
  5. Step 5: Solve for x
    x = 260,808,133.59/22,511.66
  6. Step 6: Final answer
    x = 11,585.47

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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.