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Finding the Fourth Proportional to 14,463.20, 21,694.80 and 5,693.32

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Solution

The fourth proportional to 14,463.20, 21,694.80 and 5,693.32 is: 8,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.20 : 21,694.80 = 5,693.32 : x
  2. Step 2: Convert to fraction form
    14,463.20/21,694.80 = 5,693.32/x
  3. Step 3: Cross multiply
    14,463.20x = 21,694.80 × 5,693.32
  4. Step 4: Simplify right side
    14,463.20x = 123,515,438.74
  5. Step 5: Solve for x
    x = 123,515,438.74/14,463.20
  6. Step 6: Final answer
    x = 8,539.98

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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.