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Finding the Fourth Proportional to 16,940.98, 25,411.56 and 7,700.50

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Solution

The fourth proportional to 16,940.98, 25,411.56 and 7,700.50 is: 11,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,940.98 : 25,411.56 = 7,700.50 : x
  2. Step 2: Convert to fraction form
    16,940.98/25,411.56 = 7,700.50/x
  3. Step 3: Cross multiply
    16,940.98x = 25,411.56 × 7,700.50
  4. Step 4: Simplify right side
    16,940.98x = 195,681,717.78
  5. Step 5: Solve for x
    x = 195,681,717.78/16,940.98
  6. Step 6: Final answer
    x = 11,550.79

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Why These Related Problems?

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