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Finding the Fourth Proportional to 10,219.92, 14,140.81 and 8,898

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Solution

The fourth proportional to 10,219.92, 14,140.81 and 8,898 is: 12,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.92 : 14,140.81 = 8,898 : x
  2. Step 2: Convert to fraction form
    10,219.92/14,140.81 = 8,898/x
  3. Step 3: Cross multiply
    10,219.92x = 14,140.81 × 8,898
  4. Step 4: Simplify right side
    10,219.92x = 125,824,927.38
  5. Step 5: Solve for x
    x = 125,824,927.38/10,219.92
  6. Step 6: Final answer
    x = 12,311.73

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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.