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Finding the Fourth Proportional to 13,556.16, 18,709.44 and 8,252.16

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Solution

The fourth proportional to 13,556.16, 18,709.44 and 8,252.16 is: 11,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,556.16 : 18,709.44 = 8,252.16 : x
  2. Step 2: Convert to fraction form
    13,556.16/18,709.44 = 8,252.16/x
  3. Step 3: Cross multiply
    13,556.16x = 18,709.44 × 8,252.16
  4. Step 4: Simplify right side
    13,556.16x = 154,393,292.39
  5. Step 5: Solve for x
    x = 154,393,292.39/13,556.16
  6. Step 6: Final answer
    x = 11,389.16

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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.