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Finding the Fourth Proportional to 22,389.21, 30,894.90 and 12,827.28

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Solution

The fourth proportional to 22,389.21, 30,894.90 and 12,827.28 is: 17,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,389.21 : 30,894.90 = 12,827.28 : x
  2. Step 2: Convert to fraction form
    22,389.21/30,894.90 = 12,827.28/x
  3. Step 3: Cross multiply
    22,389.21x = 30,894.90 × 12,827.28
  4. Step 4: Simplify right side
    22,389.21x = 396,297,532.87
  5. Step 5: Solve for x
    x = 396,297,532.87/22,389.21
  6. Step 6: Final answer
    x = 17,700.38

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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.