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Finding the Fourth Proportional to 13,855.40, 19,115.71 and 7,885.58

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Solution

The fourth proportional to 13,855.40, 19,115.71 and 7,885.58 is: 10,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.40 : 19,115.71 = 7,885.58 : x
  2. Step 2: Convert to fraction form
    13,855.40/19,115.71 = 7,885.58/x
  3. Step 3: Cross multiply
    13,855.40x = 19,115.71 × 7,885.58
  4. Step 4: Simplify right side
    13,855.40x = 150,738,364.88
  5. Step 5: Solve for x
    x = 150,738,364.88/13,855.40
  6. Step 6: Final answer
    x = 10,879.39

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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.