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Finding the Fourth Proportional to 22,328.46, 30,814.20 and 12,257.28

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Solution

The fourth proportional to 22,328.46, 30,814.20 and 12,257.28 is: 16,915.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,328.46 : 30,814.20 = 12,257.28 : x
  2. Step 2: Convert to fraction form
    22,328.46/30,814.20 = 12,257.28/x
  3. Step 3: Cross multiply
    22,328.46x = 30,814.20 × 12,257.28
  4. Step 4: Simplify right side
    22,328.46x = 377,698,277.38
  5. Step 5: Solve for x
    x = 377,698,277.38/22,328.46
  6. Step 6: Final answer
    x = 16,915.55

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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.