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Finding the Fourth Proportional to 21,642.02, 32,463.14 and 6,851.02

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Solution

The fourth proportional to 21,642.02, 32,463.14 and 6,851.02 is: 10,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.02 : 32,463.14 = 6,851.02 : x
  2. Step 2: Convert to fraction form
    21,642.02/32,463.14 = 6,851.02/x
  3. Step 3: Cross multiply
    21,642.02x = 32,463.14 × 6,851.02
  4. Step 4: Simplify right side
    21,642.02x = 222,405,621.40
  5. Step 5: Solve for x
    x = 222,405,621.40/21,642.02
  6. Step 6: Final answer
    x = 10,276.56

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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.