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Finding the Fourth Proportional to 16,280.40, 22,466.94 and 8,828.40

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Solution

The fourth proportional to 16,280.40, 22,466.94 and 8,828.40 is: 12,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.40 : 22,466.94 = 8,828.40 : x
  2. Step 2: Convert to fraction form
    16,280.40/22,466.94 = 8,828.40/x
  3. Step 3: Cross multiply
    16,280.40x = 22,466.94 × 8,828.40
  4. Step 4: Simplify right side
    16,280.40x = 198,347,133.10
  5. Step 5: Solve for x
    x = 198,347,133.10/16,280.40
  6. Step 6: Final answer
    x = 12,183.19

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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.