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Finding the Fourth Proportional to 15,299.82, 22,952.97 and 4,918.86

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Solution

The fourth proportional to 15,299.82, 22,952.97 and 4,918.86 is: 7,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,299.82 : 22,952.97 = 4,918.86 : x
  2. Step 2: Convert to fraction form
    15,299.82/22,952.97 = 4,918.86/x
  3. Step 3: Cross multiply
    15,299.82x = 22,952.97 × 4,918.86
  4. Step 4: Simplify right side
    15,299.82x = 112,902,446.01
  5. Step 5: Solve for x
    x = 112,902,446.01/15,299.82
  6. Step 6: Final answer
    x = 7,379.33

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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.