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Finding the Fourth Proportional to 17,184.44, 25,774.38 and 7,814.36

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Solution

The fourth proportional to 17,184.44, 25,774.38 and 7,814.36 is: 11,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.44 : 25,774.38 = 7,814.36 : x
  2. Step 2: Convert to fraction form
    17,184.44/25,774.38 = 7,814.36/x
  3. Step 3: Cross multiply
    17,184.44x = 25,774.38 × 7,814.36
  4. Step 4: Simplify right side
    17,184.44x = 201,410,284.10
  5. Step 5: Solve for x
    x = 201,410,284.10/17,184.44
  6. Step 6: Final answer
    x = 11,720.50

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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.