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Finding the Fourth Proportional to 22,280.36, 30,746.95 and 12,208.60

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Solution

The fourth proportional to 22,280.36, 30,746.95 and 12,208.60 is: 16,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280.36 : 30,746.95 = 12,208.60 : x
  2. Step 2: Convert to fraction form
    22,280.36/30,746.95 = 12,208.60/x
  3. Step 3: Cross multiply
    22,280.36x = 30,746.95 × 12,208.60
  4. Step 4: Simplify right side
    22,280.36x = 375,377,106.38
  5. Step 5: Solve for x
    x = 375,377,106.38/22,280.36
  6. Step 6: Final answer
    x = 16,847.89

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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.