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Finding the Fourth Proportional to 21,662.63, 32,495.09 and 6,081.47

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Solution

The fourth proportional to 21,662.63, 32,495.09 and 6,081.47 is: 9,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.63 : 32,495.09 = 6,081.47 : x
  2. Step 2: Convert to fraction form
    21,662.63/32,495.09 = 6,081.47/x
  3. Step 3: Cross multiply
    21,662.63x = 32,495.09 × 6,081.47
  4. Step 4: Simplify right side
    21,662.63x = 197,617,914.98
  5. Step 5: Solve for x
    x = 197,617,914.98/21,662.63
  6. Step 6: Final answer
    x = 9,122.53

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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.