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Finding the Fourth Proportional to 13,926.52, 19,221.06 and 8,264.39

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Solution

The fourth proportional to 13,926.52, 19,221.06 and 8,264.39 is: 11,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,926.52 : 19,221.06 = 8,264.39 : x
  2. Step 2: Convert to fraction form
    13,926.52/19,221.06 = 8,264.39/x
  3. Step 3: Cross multiply
    13,926.52x = 19,221.06 × 8,264.39
  4. Step 4: Simplify right side
    13,926.52x = 158,850,294.73
  5. Step 5: Solve for x
    x = 158,850,294.73/13,926.52
  6. Step 6: Final answer
    x = 11,406.32

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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.