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Finding the Fourth Proportional to 19,164.95, 28,747.54 and 6,684.92

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Solution

The fourth proportional to 19,164.95, 28,747.54 and 6,684.92 is: 10,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,164.95 : 28,747.54 = 6,684.92 : x
  2. Step 2: Convert to fraction form
    19,164.95/28,747.54 = 6,684.92/x
  3. Step 3: Cross multiply
    19,164.95x = 28,747.54 × 6,684.92
  4. Step 4: Simplify right side
    19,164.95x = 192,174,861.36
  5. Step 5: Solve for x
    x = 192,174,861.36/19,164.95
  6. Step 6: Final answer
    x = 10,027.42

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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.