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Finding the Fourth Proportional to 11,882.40, 17,843.04 and 9,277.44

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Solution

The fourth proportional to 11,882.40, 17,843.04 and 9,277.44 is: 13,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.40 : 17,843.04 = 9,277.44 : x
  2. Step 2: Convert to fraction form
    11,882.40/17,843.04 = 9,277.44/x
  3. Step 3: Cross multiply
    11,882.40x = 17,843.04 × 9,277.44
  4. Step 4: Simplify right side
    11,882.40x = 165,537,733.02
  5. Step 5: Solve for x
    x = 165,537,733.02/11,882.40
  6. Step 6: Final answer
    x = 13,931.34

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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.