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Finding the Fourth Proportional to 22,284.82, 30,752.97 and 12,213.69

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Solution

The fourth proportional to 22,284.82, 30,752.97 and 12,213.69 is: 16,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.82 : 30,752.97 = 12,213.69 : x
  2. Step 2: Convert to fraction form
    22,284.82/30,752.97 = 12,213.69/x
  3. Step 3: Cross multiply
    22,284.82x = 30,752.97 × 12,213.69
  4. Step 4: Simplify right side
    22,284.82x = 375,607,081.03
  5. Step 5: Solve for x
    x = 375,607,081.03/22,284.82
  6. Step 6: Final answer
    x = 16,854.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.