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Finding the Fourth Proportional to 19,349.79, 29,027.41 and 6,199.08

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Solution

The fourth proportional to 19,349.79, 29,027.41 and 6,199.08 is: 9,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,349.79 : 29,027.41 = 6,199.08 : x
  2. Step 2: Convert to fraction form
    19,349.79/29,027.41 = 6,199.08/x
  3. Step 3: Cross multiply
    19,349.79x = 29,027.41 × 6,199.08
  4. Step 4: Simplify right side
    19,349.79x = 179,943,310.58
  5. Step 5: Solve for x
    x = 179,943,310.58/19,349.79
  6. Step 6: Final answer
    x = 9,299.50

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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.