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Finding the Fourth Proportional to 22,232, 30,680.48 and 12,296.64

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Solution

The fourth proportional to 22,232, 30,680.48 and 12,296.64 is: 16,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232 : 30,680.48 = 12,296.64 : x
  2. Step 2: Convert to fraction form
    22,232/30,680.48 = 12,296.64/x
  3. Step 3: Cross multiply
    22,232x = 30,680.48 × 12,296.64
  4. Step 4: Simplify right side
    22,232x = 377,266,817.59
  5. Step 5: Solve for x
    x = 377,266,817.59/22,232
  6. Step 6: Final answer
    x = 16,969.54

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1.5x scale

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.