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Finding the Fourth Proportional to 13,529, 18,670.74 and 7,941.80

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Solution

The fourth proportional to 13,529, 18,670.74 and 7,941.80 is: 10,960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529 : 18,670.74 = 7,941.80 : x
  2. Step 2: Convert to fraction form
    13,529/18,670.74 = 7,941.80/x
  3. Step 3: Cross multiply
    13,529x = 18,670.74 × 7,941.80
  4. Step 4: Simplify right side
    13,529x = 148,279,282.93
  5. Step 5: Solve for x
    x = 148,279,282.93/13,529
  6. Step 6: Final answer
    x = 10,960.11

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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.