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Finding the Fourth Proportional to 13,564.50, 18,719.34 and 7,596.09

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Solution

The fourth proportional to 13,564.50, 18,719.34 and 7,596.09 is: 10,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.50 : 18,719.34 = 7,596.09 : x
  2. Step 2: Convert to fraction form
    13,564.50/18,719.34 = 7,596.09/x
  3. Step 3: Cross multiply
    13,564.50x = 18,719.34 × 7,596.09
  4. Step 4: Simplify right side
    13,564.50x = 142,193,791.38
  5. Step 5: Solve for x
    x = 142,193,791.38/13,564.50
  6. Step 6: Final answer
    x = 10,482.79

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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.