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Finding the Fourth Proportional to 21,647.03, 32,467.71 and 6,856.07

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Solution

The fourth proportional to 21,647.03, 32,467.71 and 6,856.07 is: 10,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.03 : 32,467.71 = 6,856.07 : x
  2. Step 2: Convert to fraction form
    21,647.03/32,467.71 = 6,856.07/x
  3. Step 3: Cross multiply
    21,647.03x = 32,467.71 × 6,856.07
  4. Step 4: Simplify right side
    21,647.03x = 222,600,892.50
  5. Step 5: Solve for x
    x = 222,600,892.50/21,647.03
  6. Step 6: Final answer
    x = 10,283.21

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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.