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Finding the Fourth Proportional to 22,094.78, 33,154.31 and 10,407.69

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Solution

The fourth proportional to 22,094.78, 33,154.31 and 10,407.69 is: 15,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,094.78 : 33,154.31 = 10,407.69 : x
  2. Step 2: Convert to fraction form
    22,094.78/33,154.31 = 10,407.69/x
  3. Step 3: Cross multiply
    22,094.78x = 33,154.31 × 10,407.69
  4. Step 4: Simplify right side
    22,094.78x = 345,059,806.66
  5. Step 5: Solve for x
    x = 345,059,806.66/22,094.78
  6. Step 6: Final answer
    x = 15,617.26

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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.