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Finding the Fourth Proportional to 14,619.44, 21,932.40 and 6,824

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Solution

The fourth proportional to 14,619.44, 21,932.40 and 6,824 is: 10,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,619.44 : 21,932.40 = 6,824 : x
  2. Step 2: Convert to fraction form
    14,619.44/21,932.40 = 6,824/x
  3. Step 3: Cross multiply
    14,619.44x = 21,932.40 × 6,824
  4. Step 4: Simplify right side
    14,619.44x = 149,666,697.60
  5. Step 5: Solve for x
    x = 149,666,697.60/14,619.44
  6. Step 6: Final answer
    x = 10,237.51

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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.