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Finding the Fourth Proportional to 12,940.83, 17,859 and 7,904.24

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Solution

The fourth proportional to 12,940.83, 17,859 and 7,904.24 is: 10,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.83 : 17,859 = 7,904.24 : x
  2. Step 2: Convert to fraction form
    12,940.83/17,859 = 7,904.24/x
  3. Step 3: Cross multiply
    12,940.83x = 17,859 × 7,904.24
  4. Step 4: Simplify right side
    12,940.83x = 141,161,732.87
  5. Step 5: Solve for x
    x = 141,161,732.87/12,940.83
  6. Step 6: Final answer
    x = 10,908.24

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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.