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Finding the Fourth Proportional to 14,208.68, 19,589.73 and 9,724.73

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Solution

The fourth proportional to 14,208.68, 19,589.73 and 9,724.73 is: 13,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,208.68 : 19,589.73 = 9,724.73 : x
  2. Step 2: Convert to fraction form
    14,208.68/19,589.73 = 9,724.73/x
  3. Step 3: Cross multiply
    14,208.68x = 19,589.73 × 9,724.73
  4. Step 4: Simplify right side
    14,208.68x = 190,504,737.07
  5. Step 5: Solve for x
    x = 190,504,737.07/14,208.68
  6. Step 6: Final answer
    x = 13,407.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.