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Finding the Fourth Proportional to 21,716.66, 32,574.38 and 9,230.42

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Solution

The fourth proportional to 21,716.66, 32,574.38 and 9,230.42 is: 13,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,716.66 : 32,574.38 = 9,230.42 : x
  2. Step 2: Convert to fraction form
    21,716.66/32,574.38 = 9,230.42/x
  3. Step 3: Cross multiply
    21,716.66x = 32,574.38 × 9,230.42
  4. Step 4: Simplify right side
    21,716.66x = 300,675,208.64
  5. Step 5: Solve for x
    x = 300,675,208.64/21,716.66
  6. Step 6: Final answer
    x = 13,845.37

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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.