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Finding the Fourth Proportional to 16,467.76, 24,683.94 and 7,112.20

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Solution

The fourth proportional to 16,467.76, 24,683.94 and 7,112.20 is: 10,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467.76 : 24,683.94 = 7,112.20 : x
  2. Step 2: Convert to fraction form
    16,467.76/24,683.94 = 7,112.20/x
  3. Step 3: Cross multiply
    16,467.76x = 24,683.94 × 7,112.20
  4. Step 4: Simplify right side
    16,467.76x = 175,557,118.07
  5. Step 5: Solve for x
    x = 175,557,118.07/16,467.76
  6. Step 6: Final answer
    x = 10,660.66

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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.