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Finding the Fourth Proportional to 13,914.99, 19,193.05 and 8,606.66

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Solution

The fourth proportional to 13,914.99, 19,193.05 and 8,606.66 is: 11,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.99 : 19,193.05 = 8,606.66 : x
  2. Step 2: Convert to fraction form
    13,914.99/19,193.05 = 8,606.66/x
  3. Step 3: Cross multiply
    13,914.99x = 19,193.05 × 8,606.66
  4. Step 4: Simplify right side
    13,914.99x = 165,187,970.51
  5. Step 5: Solve for x
    x = 165,187,970.51/13,914.99
  6. Step 6: Final answer
    x = 11,871.22

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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.