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Finding the Fourth Proportional to 17,643.81, 24,349.32 and 9,685.95

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Solution

The fourth proportional to 17,643.81, 24,349.32 and 9,685.95 is: 13,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.81 : 24,349.32 = 9,685.95 : x
  2. Step 2: Convert to fraction form
    17,643.81/24,349.32 = 9,685.95/x
  3. Step 3: Cross multiply
    17,643.81x = 24,349.32 × 9,685.95
  4. Step 4: Simplify right side
    17,643.81x = 235,846,296.05
  5. Step 5: Solve for x
    x = 235,846,296.05/17,643.81
  6. Step 6: Final answer
    x = 13,367.08

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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.