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Finding the Fourth Proportional to 11,842.98, 17,747.52 and 8,698.32

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Solution

The fourth proportional to 11,842.98, 17,747.52 and 8,698.32 is: 13,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.98 : 17,747.52 = 8,698.32 : x
  2. Step 2: Convert to fraction form
    11,842.98/17,747.52 = 8,698.32/x
  3. Step 3: Cross multiply
    11,842.98x = 17,747.52 × 8,698.32
  4. Step 4: Simplify right side
    11,842.98x = 154,373,608.17
  5. Step 5: Solve for x
    x = 154,373,608.17/11,842.98
  6. Step 6: Final answer
    x = 13,035.03

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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.