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Finding the Fourth Proportional to 21,662.14, 32,496.31 and 6,670.53

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Solution

The fourth proportional to 21,662.14, 32,496.31 and 6,670.53 is: 10,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.14 : 32,496.31 = 6,670.53 : x
  2. Step 2: Convert to fraction form
    21,662.14/32,496.31 = 6,670.53/x
  3. Step 3: Cross multiply
    21,662.14x = 32,496.31 × 6,670.53
  4. Step 4: Simplify right side
    21,662.14x = 216,767,610.74
  5. Step 5: Solve for x
    x = 216,767,610.74/21,662.14
  6. Step 6: Final answer
    x = 10,006.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.