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Finding the Fourth Proportional to 16,641.93, 22,968.17 and 9,568.20

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Solution

The fourth proportional to 16,641.93, 22,968.17 and 9,568.20 is: 13,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,641.93 : 22,968.17 = 9,568.20 : x
  2. Step 2: Convert to fraction form
    16,641.93/22,968.17 = 9,568.20/x
  3. Step 3: Cross multiply
    16,641.93x = 22,968.17 × 9,568.20
  4. Step 4: Simplify right side
    16,641.93x = 219,764,044.19
  5. Step 5: Solve for x
    x = 219,764,044.19/16,641.93
  6. Step 6: Final answer
    x = 13,205.44

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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.