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Finding the Fourth Proportional to 15,296.14, 22,942.04 and 4,906.54

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Solution

The fourth proportional to 15,296.14, 22,942.04 and 4,906.54 is: 7,359.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,296.14 : 22,942.04 = 4,906.54 : x
  2. Step 2: Convert to fraction form
    15,296.14/22,942.04 = 4,906.54/x
  3. Step 3: Cross multiply
    15,296.14x = 22,942.04 × 4,906.54
  4. Step 4: Simplify right side
    15,296.14x = 112,566,036.94
  5. Step 5: Solve for x
    x = 112,566,036.94/15,296.14
  6. Step 6: Final answer
    x = 7,359.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.