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Finding the Fourth Proportional to 17,367.14, 26,051.92 and 6,978.90

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Solution

The fourth proportional to 17,367.14, 26,051.92 and 6,978.90 is: 10,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,367.14 : 26,051.92 = 6,978.90 : x
  2. Step 2: Convert to fraction form
    17,367.14/26,051.92 = 6,978.90/x
  3. Step 3: Cross multiply
    17,367.14x = 26,051.92 × 6,978.90
  4. Step 4: Simplify right side
    17,367.14x = 181,813,744.49
  5. Step 5: Solve for x
    x = 181,813,744.49/17,367.14
  6. Step 6: Final answer
    x = 10,468.84

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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.