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Finding the Fourth Proportional to 17,102.25, 25,653.14 and 5,415.47

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Solution

The fourth proportional to 17,102.25, 25,653.14 and 5,415.47 is: 8,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.25 : 25,653.14 = 5,415.47 : x
  2. Step 2: Convert to fraction form
    17,102.25/25,653.14 = 5,415.47/x
  3. Step 3: Cross multiply
    17,102.25x = 25,653.14 × 5,415.47
  4. Step 4: Simplify right side
    17,102.25x = 138,923,654.73
  5. Step 5: Solve for x
    x = 138,923,654.73/17,102.25
  6. Step 6: Final answer
    x = 8,123.12

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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.