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Finding the Fourth Proportional to 15,289.97, 22,937.24 and 5,428.42

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Solution

The fourth proportional to 15,289.97, 22,937.24 and 5,428.42 is: 8,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,289.97 : 22,937.24 = 5,428.42 : x
  2. Step 2: Convert to fraction form
    15,289.97/22,937.24 = 5,428.42/x
  3. Step 3: Cross multiply
    15,289.97x = 22,937.24 × 5,428.42
  4. Step 4: Simplify right side
    15,289.97x = 124,512,887.88
  5. Step 5: Solve for x
    x = 124,512,887.88/15,289.97
  6. Step 6: Final answer
    x = 8,143.44

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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.