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Finding the Fourth Proportional to 17,977.82, 26,978.88 and 6,291.14

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Solution

The fourth proportional to 17,977.82, 26,978.88 and 6,291.14 is: 9,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.82 : 26,978.88 = 6,291.14 : x
  2. Step 2: Convert to fraction form
    17,977.82/26,978.88 = 6,291.14/x
  3. Step 3: Cross multiply
    17,977.82x = 26,978.88 × 6,291.14
  4. Step 4: Simplify right side
    17,977.82x = 169,727,911.12
  5. Step 5: Solve for x
    x = 169,727,911.12/17,977.82
  6. Step 6: Final answer
    x = 9,440.96

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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.