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Finding the Fourth Proportional to 22,194, 30,627.72 and 12,258.64

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Solution

The fourth proportional to 22,194, 30,627.72 and 12,258.64 is: 16,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,194 : 30,627.72 = 12,258.64 : x
  2. Step 2: Convert to fraction form
    22,194/30,627.72 = 12,258.64/x
  3. Step 3: Cross multiply
    22,194x = 30,627.72 × 12,258.64
  4. Step 4: Simplify right side
    22,194x = 375,454,193.50
  5. Step 5: Solve for x
    x = 375,454,193.50/22,194
  6. Step 6: Final answer
    x = 16,916.92

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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.