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Finding the Fourth Proportional to 13,189.78, 18,198.28 and 7,522.46

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Solution

The fourth proportional to 13,189.78, 18,198.28 and 7,522.46 is: 10,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.78 : 18,198.28 = 7,522.46 : x
  2. Step 2: Convert to fraction form
    13,189.78/18,198.28 = 7,522.46/x
  3. Step 3: Cross multiply
    13,189.78x = 18,198.28 × 7,522.46
  4. Step 4: Simplify right side
    13,189.78x = 136,895,704.77
  5. Step 5: Solve for x
    x = 136,895,704.77/13,189.78
  6. Step 6: Final answer
    x = 10,378.93

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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.