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Finding the Fourth Proportional to 12,774.57, 19,164.21 and 5,754.75

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Solution

The fourth proportional to 12,774.57, 19,164.21 and 5,754.75 is: 8,633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.57 : 19,164.21 = 5,754.75 : x
  2. Step 2: Convert to fraction form
    12,774.57/19,164.21 = 5,754.75/x
  3. Step 3: Cross multiply
    12,774.57x = 19,164.21 × 5,754.75
  4. Step 4: Simplify right side
    12,774.57x = 110,285,237.50
  5. Step 5: Solve for x
    x = 110,285,237.50/12,774.57
  6. Step 6: Final answer
    x = 8,633.19

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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.