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Finding the Fourth Proportional to 11,774.22, 17,644.91 and 8,849.10

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Solution

The fourth proportional to 11,774.22, 17,644.91 and 8,849.10 is: 13,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.22 : 17,644.91 = 8,849.10 : x
  2. Step 2: Convert to fraction form
    11,774.22/17,644.91 = 8,849.10/x
  3. Step 3: Cross multiply
    11,774.22x = 17,644.91 × 8,849.10
  4. Step 4: Simplify right side
    11,774.22x = 156,141,573.08
  5. Step 5: Solve for x
    x = 156,141,573.08/11,774.22
  6. Step 6: Final answer
    x = 13,261.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.