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Finding the Fourth Proportional to 15,899.42, 21,942.68 and 8,828.12

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Solution

The fourth proportional to 15,899.42, 21,942.68 and 8,828.12 is: 12,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899.42 : 21,942.68 = 8,828.12 : x
  2. Step 2: Convert to fraction form
    15,899.42/21,942.68 = 8,828.12/x
  3. Step 3: Cross multiply
    15,899.42x = 21,942.68 × 8,828.12
  4. Step 4: Simplify right side
    15,899.42x = 193,712,612.16
  5. Step 5: Solve for x
    x = 193,712,612.16/15,899.42
  6. Step 6: Final answer
    x = 12,183.63

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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.