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Finding the Fourth Proportional to 10,221.66, 14,146.38 and 9,976.26

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Solution

The fourth proportional to 10,221.66, 14,146.38 and 9,976.26 is: 13,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.66 : 14,146.38 = 9,976.26 : x
  2. Step 2: Convert to fraction form
    10,221.66/14,146.38 = 9,976.26/x
  3. Step 3: Cross multiply
    10,221.66x = 14,146.38 × 9,976.26
  4. Step 4: Simplify right side
    10,221.66x = 141,127,964.94
  5. Step 5: Solve for x
    x = 141,127,964.94/10,221.66
  6. Step 6: Final answer
    x = 13,806.76

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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.