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Finding the Fourth Proportional to 16,280.58, 22,467.24 and 8,828.58

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Solution

The fourth proportional to 16,280.58, 22,467.24 and 8,828.58 is: 12,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.58 : 22,467.24 = 8,828.58 : x
  2. Step 2: Convert to fraction form
    16,280.58/22,467.24 = 8,828.58/x
  3. Step 3: Cross multiply
    16,280.58x = 22,467.24 × 8,828.58
  4. Step 4: Simplify right side
    16,280.58x = 198,353,825.72
  5. Step 5: Solve for x
    x = 198,353,825.72/16,280.58
  6. Step 6: Final answer
    x = 12,183.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.