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Finding the Fourth Proportional to 15,905.92, 21,950.56 and 8,832

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Solution

The fourth proportional to 15,905.92, 21,950.56 and 8,832 is: 12,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905.92 : 21,950.56 = 8,832 : x
  2. Step 2: Convert to fraction form
    15,905.92/21,950.56 = 8,832/x
  3. Step 3: Cross multiply
    15,905.92x = 21,950.56 × 8,832
  4. Step 4: Simplify right side
    15,905.92x = 193,867,345.92
  5. Step 5: Solve for x
    x = 193,867,345.92/15,905.92
  6. Step 6: Final answer
    x = 12,188.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.