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Finding the Fourth Proportional to 14,406.79, 19,881.38 and 8,033.96

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Solution

The fourth proportional to 14,406.79, 19,881.38 and 8,033.96 is: 11,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.79 : 19,881.38 = 8,033.96 : x
  2. Step 2: Convert to fraction form
    14,406.79/19,881.38 = 8,033.96/x
  3. Step 3: Cross multiply
    14,406.79x = 19,881.38 × 8,033.96
  4. Step 4: Simplify right side
    14,406.79x = 159,726,211.66
  5. Step 5: Solve for x
    x = 159,726,211.66/14,406.79
  6. Step 6: Final answer
    x = 11,086.87

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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.