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Finding the Fourth Proportional to 12,393, 17,103.25 and 7,678.19

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Solution

The fourth proportional to 12,393, 17,103.25 and 7,678.19 is: 10,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393 : 17,103.25 = 7,678.19 : x
  2. Step 2: Convert to fraction form
    12,393/17,103.25 = 7,678.19/x
  3. Step 3: Cross multiply
    12,393x = 17,103.25 × 7,678.19
  4. Step 4: Simplify right side
    12,393x = 131,322,055.47
  5. Step 5: Solve for x
    x = 131,322,055.47/12,393
  6. Step 6: Final answer
    x = 10,596.47

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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.