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Finding the Fourth Proportional to 14,194.78, 21,292.17 and 6,405.82

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Solution

The fourth proportional to 14,194.78, 21,292.17 and 6,405.82 is: 9,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.78 : 21,292.17 = 6,405.82 : x
  2. Step 2: Convert to fraction form
    14,194.78/21,292.17 = 6,405.82/x
  3. Step 3: Cross multiply
    14,194.78x = 21,292.17 × 6,405.82
  4. Step 4: Simplify right side
    14,194.78x = 136,393,808.43
  5. Step 5: Solve for x
    x = 136,393,808.43/14,194.78
  6. Step 6: Final answer
    x = 9,608.73

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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.