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Finding the Fourth Proportional to 14,206.09, 19,604.49 and 8,241.31

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Solution

The fourth proportional to 14,206.09, 19,604.49 and 8,241.31 is: 11,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.09 : 19,604.49 = 8,241.31 : x
  2. Step 2: Convert to fraction form
    14,206.09/19,604.49 = 8,241.31/x
  3. Step 3: Cross multiply
    14,206.09x = 19,604.49 × 8,241.31
  4. Step 4: Simplify right side
    14,206.09x = 161,566,679.48
  5. Step 5: Solve for x
    x = 161,566,679.48/14,206.09
  6. Step 6: Final answer
    x = 11,373.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.