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Finding the Fourth Proportional to 19,496.58, 29,247.75 and 5,643.78

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Solution

The fourth proportional to 19,496.58, 29,247.75 and 5,643.78 is: 8,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496.58 : 29,247.75 = 5,643.78 : x
  2. Step 2: Convert to fraction form
    19,496.58/29,247.75 = 5,643.78/x
  3. Step 3: Cross multiply
    19,496.58x = 29,247.75 × 5,643.78
  4. Step 4: Simplify right side
    19,496.58x = 165,067,866.50
  5. Step 5: Solve for x
    x = 165,067,866.50/19,496.58
  6. Step 6: Final answer
    x = 8,466.50

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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.