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Finding the Fourth Proportional to 14,261.78, 19,684.38 and 8,296.88

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Solution

The fourth proportional to 14,261.78, 19,684.38 and 8,296.88 is: 11,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.78 : 19,684.38 = 8,296.88 : x
  2. Step 2: Convert to fraction form
    14,261.78/19,684.38 = 8,296.88/x
  3. Step 3: Cross multiply
    14,261.78x = 19,684.38 × 8,296.88
  4. Step 4: Simplify right side
    14,261.78x = 163,318,938.73
  5. Step 5: Solve for x
    x = 163,318,938.73/14,261.78
  6. Step 6: Final answer
    x = 11,451.51

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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.