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Finding the Fourth Proportional to 13,926.44, 19,222.08 and 8,618.24

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Solution

The fourth proportional to 13,926.44, 19,222.08 and 8,618.24 is: 11,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,926.44 : 19,222.08 = 8,618.24 : x
  2. Step 2: Convert to fraction form
    13,926.44/19,222.08 = 8,618.24/x
  3. Step 3: Cross multiply
    13,926.44x = 19,222.08 × 8,618.24
  4. Step 4: Simplify right side
    13,926.44x = 165,660,498.74
  5. Step 5: Solve for x
    x = 165,660,498.74/13,926.44
  6. Step 6: Final answer
    x = 11,895.39

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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.