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Finding the Fourth Proportional to 12,327.93, 17,024.97 and 7,853.70

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Solution

The fourth proportional to 12,327.93, 17,024.97 and 7,853.70 is: 10,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.93 : 17,024.97 = 7,853.70 : x
  2. Step 2: Convert to fraction form
    12,327.93/17,024.97 = 7,853.70/x
  3. Step 3: Cross multiply
    12,327.93x = 17,024.97 × 7,853.70
  4. Step 4: Simplify right side
    12,327.93x = 133,709,006.89
  5. Step 5: Solve for x
    x = 133,709,006.89/12,327.93
  6. Step 6: Final answer
    x = 10,846.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.