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Finding the Fourth Proportional to 13,092.12, 19,625.62 and 8,399

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Solution

The fourth proportional to 13,092.12, 19,625.62 and 8,399 is: 12,590.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092.12 : 19,625.62 = 8,399 : x
  2. Step 2: Convert to fraction form
    13,092.12/19,625.62 = 8,399/x
  3. Step 3: Cross multiply
    13,092.12x = 19,625.62 × 8,399
  4. Step 4: Simplify right side
    13,092.12x = 164,835,582.38
  5. Step 5: Solve for x
    x = 164,835,582.38/13,092.12
  6. Step 6: Final answer
    x = 12,590.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.