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Finding the Fourth Proportional to 22,356.64, 30,852.56 and 12,286

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Solution

The fourth proportional to 22,356.64, 30,852.56 and 12,286 is: 16,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.64 : 30,852.56 = 12,286 : x
  2. Step 2: Convert to fraction form
    22,356.64/30,852.56 = 12,286/x
  3. Step 3: Cross multiply
    22,356.64x = 30,852.56 × 12,286
  4. Step 4: Simplify right side
    22,356.64x = 379,054,552.16
  5. Step 5: Solve for x
    x = 379,054,552.16/22,356.64
  6. Step 6: Final answer
    x = 16,954.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.