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Finding the Fourth Proportional to 11,894.22, 17,837.66 and 9,548.69

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Solution

The fourth proportional to 11,894.22, 17,837.66 and 9,548.69 is: 14,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.22 : 17,837.66 = 9,548.69 : x
  2. Step 2: Convert to fraction form
    11,894.22/17,837.66 = 9,548.69/x
  3. Step 3: Cross multiply
    11,894.22x = 17,837.66 × 9,548.69
  4. Step 4: Simplify right side
    11,894.22x = 170,326,220.35
  5. Step 5: Solve for x
    x = 170,326,220.35/11,894.22
  6. Step 6: Final answer
    x = 14,320.08

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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.