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Finding the Fourth Proportional to 16,064.64, 24,093.72 and 6,205.32

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Solution

The fourth proportional to 16,064.64, 24,093.72 and 6,205.32 is: 9,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.64 : 24,093.72 = 6,205.32 : x
  2. Step 2: Convert to fraction form
    16,064.64/24,093.72 = 6,205.32/x
  3. Step 3: Cross multiply
    16,064.64x = 24,093.72 × 6,205.32
  4. Step 4: Simplify right side
    16,064.64x = 149,509,242.59
  5. Step 5: Solve for x
    x = 149,509,242.59/16,064.64
  6. Step 6: Final answer
    x = 9,306.73

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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.