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Finding the Fourth Proportional to 28,857, 39,825.09 and 16,284.18

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Solution

The fourth proportional to 28,857, 39,825.09 and 16,284.18 is: 22,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,857 : 39,825.09 = 16,284.18 : x
  2. Step 2: Convert to fraction form
    28,857/39,825.09 = 16,284.18/x
  3. Step 3: Cross multiply
    28,857x = 39,825.09 × 16,284.18
  4. Step 4: Simplify right side
    28,857x = 648,518,934.08
  5. Step 5: Solve for x
    x = 648,518,934.08/28,857
  6. Step 6: Final answer
    x = 22,473.54

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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.