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Finding the Fourth Proportional to 17,020.42, 25,521.99 and 7,778.50

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Solution

The fourth proportional to 17,020.42, 25,521.99 and 7,778.50 is: 11,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,020.42 : 25,521.99 = 7,778.50 : x
  2. Step 2: Convert to fraction form
    17,020.42/25,521.99 = 7,778.50/x
  3. Step 3: Cross multiply
    17,020.42x = 25,521.99 × 7,778.50
  4. Step 4: Simplify right side
    17,020.42x = 198,522,799.22
  5. Step 5: Solve for x
    x = 198,522,799.22/17,020.42
  6. Step 6: Final answer
    x = 11,663.80

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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.