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Finding the Fourth Proportional to 13,194, 18,208.36 and 7,306

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Solution

The fourth proportional to 13,194, 18,208.36 and 7,306 is: 10,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194 : 18,208.36 = 7,306 : x
  2. Step 2: Convert to fraction form
    13,194/18,208.36 = 7,306/x
  3. Step 3: Cross multiply
    13,194x = 18,208.36 × 7,306
  4. Step 4: Simplify right side
    13,194x = 133,030,278.16
  5. Step 5: Solve for x
    x = 133,030,278.16/13,194
  6. Step 6: Final answer
    x = 10,082.63

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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.