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Finding the Fourth Proportional to 16,205.68, 24,298.44 and 6,840.88

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Solution

The fourth proportional to 16,205.68, 24,298.44 and 6,840.88 is: 10,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.68 : 24,298.44 = 6,840.88 : x
  2. Step 2: Convert to fraction form
    16,205.68/24,298.44 = 6,840.88/x
  3. Step 3: Cross multiply
    16,205.68x = 24,298.44 × 6,840.88
  4. Step 4: Simplify right side
    16,205.68x = 166,222,712.23
  5. Step 5: Solve for x
    x = 166,222,712.23/16,205.68
  6. Step 6: Final answer
    x = 10,257.06

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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.