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Finding the Fourth Proportional to 16,460.12, 24,690.64 and 6,464.44

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Solution

The fourth proportional to 16,460.12, 24,690.64 and 6,464.44 is: 9,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460.12 : 24,690.64 = 6,464.44 : x
  2. Step 2: Convert to fraction form
    16,460.12/24,690.64 = 6,464.44/x
  3. Step 3: Cross multiply
    16,460.12x = 24,690.64 × 6,464.44
  4. Step 4: Simplify right side
    16,460.12x = 159,611,160.84
  5. Step 5: Solve for x
    x = 159,611,160.84/16,460.12
  6. Step 6: Final answer
    x = 9,696.84

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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.