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Finding the Fourth Proportional to 12,571.50, 18,848.26 and 5,904.27

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Solution

The fourth proportional to 12,571.50, 18,848.26 and 5,904.27 is: 8,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.50 : 18,848.26 = 5,904.27 : x
  2. Step 2: Convert to fraction form
    12,571.50/18,848.26 = 5,904.27/x
  3. Step 3: Cross multiply
    12,571.50x = 18,848.26 × 5,904.27
  4. Step 4: Simplify right side
    12,571.50x = 111,285,216.07
  5. Step 5: Solve for x
    x = 111,285,216.07/12,571.50
  6. Step 6: Final answer
    x = 8,852.18

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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.