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Finding the Fourth Proportional to 13,690.62, 18,893.25 and 8,383.50

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Solution

The fourth proportional to 13,690.62, 18,893.25 and 8,383.50 is: 11,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.62 : 18,893.25 = 8,383.50 : x
  2. Step 2: Convert to fraction form
    13,690.62/18,893.25 = 8,383.50/x
  3. Step 3: Cross multiply
    13,690.62x = 18,893.25 × 8,383.50
  4. Step 4: Simplify right side
    13,690.62x = 158,391,561.38
  5. Step 5: Solve for x
    x = 158,391,561.38/13,690.62
  6. Step 6: Final answer
    x = 11,569.35

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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.