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Finding the Fourth Proportional to 13,464.36, 18,577.80 and 8,084.34

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Solution

The fourth proportional to 13,464.36, 18,577.80 and 8,084.34 is: 11,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.36 : 18,577.80 = 8,084.34 : x
  2. Step 2: Convert to fraction form
    13,464.36/18,577.80 = 8,084.34/x
  3. Step 3: Cross multiply
    13,464.36x = 18,577.80 × 8,084.34
  4. Step 4: Simplify right side
    13,464.36x = 150,189,251.65
  5. Step 5: Solve for x
    x = 150,189,251.65/13,464.36
  6. Step 6: Final answer
    x = 11,154.58

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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.