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Finding the Fourth Proportional to 22,232, 30,680.16 and 12,296

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Solution

The fourth proportional to 22,232, 30,680.16 and 12,296 is: 16,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232 : 30,680.16 = 12,296 : x
  2. Step 2: Convert to fraction form
    22,232/30,680.16 = 12,296/x
  3. Step 3: Cross multiply
    22,232x = 30,680.16 × 12,296
  4. Step 4: Simplify right side
    22,232x = 377,243,247.36
  5. Step 5: Solve for x
    x = 377,243,247.36/22,232
  6. Step 6: Final answer
    x = 16,968.48

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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.