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Finding the Fourth Proportional to 17,055.58, 25,583.38 and 8,282.98

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Solution

The fourth proportional to 17,055.58, 25,583.38 and 8,282.98 is: 12,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,055.58 : 25,583.38 = 8,282.98 : x
  2. Step 2: Convert to fraction form
    17,055.58/25,583.38 = 8,282.98/x
  3. Step 3: Cross multiply
    17,055.58x = 25,583.38 × 8,282.98
  4. Step 4: Simplify right side
    17,055.58x = 211,906,624.87
  5. Step 5: Solve for x
    x = 211,906,624.87/17,055.58
  6. Step 6: Final answer
    x = 12,424.47

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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.