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Finding the Fourth Proportional to 14,209.54, 19,606.93 and 8,239.98

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Solution

The fourth proportional to 14,209.54, 19,606.93 and 8,239.98 is: 11,369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.54 : 19,606.93 = 8,239.98 : x
  2. Step 2: Convert to fraction form
    14,209.54/19,606.93 = 8,239.98/x
  3. Step 3: Cross multiply
    14,209.54x = 19,606.93 × 8,239.98
  4. Step 4: Simplify right side
    14,209.54x = 161,560,711.06
  5. Step 5: Solve for x
    x = 161,560,711.06/14,209.54
  6. Step 6: Final answer
    x = 11,369.88

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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.