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Finding the Fourth Proportional to 21,460.56, 32,190.83 and 6,665.50

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Solution

The fourth proportional to 21,460.56, 32,190.83 and 6,665.50 is: 9,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460.56 : 32,190.83 = 6,665.50 : x
  2. Step 2: Convert to fraction form
    21,460.56/32,190.83 = 6,665.50/x
  3. Step 3: Cross multiply
    21,460.56x = 32,190.83 × 6,665.50
  4. Step 4: Simplify right side
    21,460.56x = 214,567,977.37
  5. Step 5: Solve for x
    x = 214,567,977.37/21,460.56
  6. Step 6: Final answer
    x = 9,998.25

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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.