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Finding the Fourth Proportional to 17,065, 25,594.98 and 5,381.08

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Solution

The fourth proportional to 17,065, 25,594.98 and 5,381.08 is: 8,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065 : 25,594.98 = 5,381.08 : x
  2. Step 2: Convert to fraction form
    17,065/25,594.98 = 5,381.08/x
  3. Step 3: Cross multiply
    17,065x = 25,594.98 × 5,381.08
  4. Step 4: Simplify right side
    17,065x = 137,728,634.98
  5. Step 5: Solve for x
    x = 137,728,634.98/17,065
  6. Step 6: Final answer
    x = 8,070.83

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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.