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Finding the Fourth Proportional to 16,329.42, 24,494.94 and 4,643.46

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Solution

The fourth proportional to 16,329.42, 24,494.94 and 4,643.46 is: 6,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,329.42 : 24,494.94 = 4,643.46 : x
  2. Step 2: Convert to fraction form
    16,329.42/24,494.94 = 4,643.46/x
  3. Step 3: Cross multiply
    16,329.42x = 24,494.94 × 4,643.46
  4. Step 4: Simplify right side
    16,329.42x = 113,741,274.09
  5. Step 5: Solve for x
    x = 113,741,274.09/16,329.42
  6. Step 6: Final answer
    x = 6,965.42

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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.