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Finding the Fourth Proportional to 10,231.66, 14,108.61 and 8,893.54

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Solution

The fourth proportional to 10,231.66, 14,108.61 and 8,893.54 is: 12,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.66 : 14,108.61 = 8,893.54 : x
  2. Step 2: Convert to fraction form
    10,231.66/14,108.61 = 8,893.54/x
  3. Step 3: Cross multiply
    10,231.66x = 14,108.61 × 8,893.54
  4. Step 4: Simplify right side
    10,231.66x = 125,475,487.38
  5. Step 5: Solve for x
    x = 125,475,487.38/10,231.66
  6. Step 6: Final answer
    x = 12,263.45

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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.