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Finding the Fourth Proportional to 19,571.92, 29,285.04 and 11,678.64

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Solution

The fourth proportional to 19,571.92, 29,285.04 and 11,678.64 is: 17,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571.92 : 29,285.04 = 11,678.64 : x
  2. Step 2: Convert to fraction form
    19,571.92/29,285.04 = 11,678.64/x
  3. Step 3: Cross multiply
    19,571.92x = 29,285.04 × 11,678.64
  4. Step 4: Simplify right side
    19,571.92x = 342,009,439.55
  5. Step 5: Solve for x
    x = 342,009,439.55/19,571.92
  6. Step 6: Final answer
    x = 17,474.50

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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.