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Finding the Fourth Proportional to 22,229.82, 30,684.87 and 12,802.14

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Solution

The fourth proportional to 22,229.82, 30,684.87 and 12,802.14 is: 17,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229.82 : 30,684.87 = 12,802.14 : x
  2. Step 2: Convert to fraction form
    22,229.82/30,684.87 = 12,802.14/x
  3. Step 3: Cross multiply
    22,229.82x = 30,684.87 × 12,802.14
  4. Step 4: Simplify right side
    22,229.82x = 392,832,001.62
  5. Step 5: Solve for x
    x = 392,832,001.62/22,229.82
  6. Step 6: Final answer
    x = 17,671.40

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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.