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Finding the Fourth Proportional to 15,472.22, 23,204 and 4,942.22

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Solution

The fourth proportional to 15,472.22, 23,204 and 4,942.22 is: 7,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,472.22 : 23,204 = 4,942.22 : x
  2. Step 2: Convert to fraction form
    15,472.22/23,204 = 4,942.22/x
  3. Step 3: Cross multiply
    15,472.22x = 23,204 × 4,942.22
  4. Step 4: Simplify right side
    15,472.22x = 114,679,272.88
  5. Step 5: Solve for x
    x = 114,679,272.88/15,472.22
  6. Step 6: Final answer
    x = 7,411.95

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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.