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Finding the Fourth Proportional to 22,874.54, 31,567.12 and 12,803.94

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Solution

The fourth proportional to 22,874.54, 31,567.12 and 12,803.94 is: 17,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.54 : 31,567.12 = 12,803.94 : x
  2. Step 2: Convert to fraction form
    22,874.54/31,567.12 = 12,803.94/x
  3. Step 3: Cross multiply
    22,874.54x = 31,567.12 × 12,803.94
  4. Step 4: Simplify right side
    22,874.54x = 404,183,478.44
  5. Step 5: Solve for x
    x = 404,183,478.44/22,874.54
  6. Step 6: Final answer
    x = 17,669.58

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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.