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Finding the Fourth Proportional to 15,992.73, 23,977.24 and 7,664.82

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Solution

The fourth proportional to 15,992.73, 23,977.24 and 7,664.82 is: 11,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,992.73 : 23,977.24 = 7,664.82 : x
  2. Step 2: Convert to fraction form
    15,992.73/23,977.24 = 7,664.82/x
  3. Step 3: Cross multiply
    15,992.73x = 23,977.24 × 7,664.82
  4. Step 4: Simplify right side
    15,992.73x = 183,781,108.81
  5. Step 5: Solve for x
    x = 183,781,108.81/15,992.73
  6. Step 6: Final answer
    x = 11,491.54

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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.