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Finding the Fourth Proportional to 12,194.66, 18,316.29 and 11,506.94

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Solution

The fourth proportional to 12,194.66, 18,316.29 and 11,506.94 is: 17,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.66 : 18,316.29 = 11,506.94 : x
  2. Step 2: Convert to fraction form
    12,194.66/18,316.29 = 11,506.94/x
  3. Step 3: Cross multiply
    12,194.66x = 18,316.29 × 11,506.94
  4. Step 4: Simplify right side
    12,194.66x = 210,764,450.05
  5. Step 5: Solve for x
    x = 210,764,450.05/12,194.66
  6. Step 6: Final answer
    x = 17,283.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.