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Finding the Fourth Proportional to 14,006.75, 19,327.93 and 8,340.37

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Solution

The fourth proportional to 14,006.75, 19,327.93 and 8,340.37 is: 11,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.75 : 19,327.93 = 8,340.37 : x
  2. Step 2: Convert to fraction form
    14,006.75/19,327.93 = 8,340.37/x
  3. Step 3: Cross multiply
    14,006.75x = 19,327.93 × 8,340.37
  4. Step 4: Simplify right side
    14,006.75x = 161,202,018.36
  5. Step 5: Solve for x
    x = 161,202,018.36/14,006.75
  6. Step 6: Final answer
    x = 11,508.89

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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.