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Finding the Fourth Proportional to 22,284.15, 33,419.16 and 7,287.80

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Solution

The fourth proportional to 22,284.15, 33,419.16 and 7,287.80 is: 10,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.15 : 33,419.16 = 7,287.80 : x
  2. Step 2: Convert to fraction form
    22,284.15/33,419.16 = 7,287.80/x
  3. Step 3: Cross multiply
    22,284.15x = 33,419.16 × 7,287.80
  4. Step 4: Simplify right side
    22,284.15x = 243,552,213.30
  5. Step 5: Solve for x
    x = 243,552,213.30/22,284.15
  6. Step 6: Final answer
    x = 10,929.39

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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.