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Finding the Fourth Proportional to 17,095.15, 25,645.43 and 7,234.50

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Solution

The fourth proportional to 17,095.15, 25,645.43 and 7,234.50 is: 10,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,095.15 : 25,645.43 = 7,234.50 : x
  2. Step 2: Convert to fraction form
    17,095.15/25,645.43 = 7,234.50/x
  3. Step 3: Cross multiply
    17,095.15x = 25,645.43 × 7,234.50
  4. Step 4: Simplify right side
    17,095.15x = 185,531,863.34
  5. Step 5: Solve for x
    x = 185,531,863.34/17,095.15
  6. Step 6: Final answer
    x = 10,852.89

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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.