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Finding the Fourth Proportional to 34,590.24, 51,906.36 and 13,812

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Solution

The fourth proportional to 34,590.24, 51,906.36 and 13,812 is: 20,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,590.24 : 51,906.36 = 13,812 : x
  2. Step 2: Convert to fraction form
    34,590.24/51,906.36 = 13,812/x
  3. Step 3: Cross multiply
    34,590.24x = 51,906.36 × 13,812
  4. Step 4: Simplify right side
    34,590.24x = 716,930,644.32
  5. Step 5: Solve for x
    x = 716,930,644.32/34,590.24
  6. Step 6: Final answer
    x = 20,726.39

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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.