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Finding the Fourth Proportional to 21,388.75, 32,083 and 5,806.37

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Solution

The fourth proportional to 21,388.75, 32,083 and 5,806.37 is: 8,709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,388.75 : 32,083 = 5,806.37 : x
  2. Step 2: Convert to fraction form
    21,388.75/32,083 = 5,806.37/x
  3. Step 3: Cross multiply
    21,388.75x = 32,083 × 5,806.37
  4. Step 4: Simplify right side
    21,388.75x = 186,285,768.71
  5. Step 5: Solve for x
    x = 186,285,768.71/21,388.75
  6. Step 6: Final answer
    x = 8,709.52

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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.