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Finding the Fourth Proportional to 16,278.84, 22,464.94 and 8,826.84

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Solution

The fourth proportional to 16,278.84, 22,464.94 and 8,826.84 is: 12,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.84 : 22,464.94 = 8,826.84 : x
  2. Step 2: Convert to fraction form
    16,278.84/22,464.94 = 8,826.84/x
  3. Step 3: Cross multiply
    16,278.84x = 22,464.94 × 8,826.84
  4. Step 4: Simplify right side
    16,278.84x = 198,294,515.23
  5. Step 5: Solve for x
    x = 198,294,515.23/16,278.84
  6. Step 6: Final answer
    x = 12,181.12

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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.