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Finding the Fourth Proportional to 14,110.69, 19,471.99 and 8,142.01

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Solution

The fourth proportional to 14,110.69, 19,471.99 and 8,142.01 is: 11,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.69 : 19,471.99 = 8,142.01 : x
  2. Step 2: Convert to fraction form
    14,110.69/19,471.99 = 8,142.01/x
  3. Step 3: Cross multiply
    14,110.69x = 19,471.99 × 8,142.01
  4. Step 4: Simplify right side
    14,110.69x = 158,541,137.30
  5. Step 5: Solve for x
    x = 158,541,137.30/14,110.69
  6. Step 6: Final answer
    x = 11,235.53

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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.