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Finding the Fourth Proportional to 16,544.44, 24,823.14 and 6,157

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Solution

The fourth proportional to 16,544.44, 24,823.14 and 6,157 is: 9,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.44 : 24,823.14 = 6,157 : x
  2. Step 2: Convert to fraction form
    16,544.44/24,823.14 = 6,157/x
  3. Step 3: Cross multiply
    16,544.44x = 24,823.14 × 6,157
  4. Step 4: Simplify right side
    16,544.44x = 152,836,072.98
  5. Step 5: Solve for x
    x = 152,836,072.98/16,544.44
  6. Step 6: Final answer
    x = 9,237.91

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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.