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Finding the Fourth Proportional to 14,170.50, 19,556.19 and 8,204.09

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Solution

The fourth proportional to 14,170.50, 19,556.19 and 8,204.09 is: 11,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,170.50 : 19,556.19 = 8,204.09 : x
  2. Step 2: Convert to fraction form
    14,170.50/19,556.19 = 8,204.09/x
  3. Step 3: Cross multiply
    14,170.50x = 19,556.19 × 8,204.09
  4. Step 4: Simplify right side
    14,170.50x = 160,440,645.04
  5. Step 5: Solve for x
    x = 160,440,645.04/14,170.50
  6. Step 6: Final answer
    x = 11,322.16

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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.