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Finding the Fourth Proportional to 13,556.13, 18,706.83 and 7,586.64

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Solution

The fourth proportional to 13,556.13, 18,706.83 and 7,586.64 is: 10,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,556.13 : 18,706.83 = 7,586.64 : x
  2. Step 2: Convert to fraction form
    13,556.13/18,706.83 = 7,586.64/x
  3. Step 3: Cross multiply
    13,556.13x = 18,706.83 × 7,586.64
  4. Step 4: Simplify right side
    13,556.13x = 141,921,984.75
  5. Step 5: Solve for x
    x = 141,921,984.75/13,556.13
  6. Step 6: Final answer
    x = 10,469.21

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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.