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Finding the Fourth Proportional to 12,186.41, 16,816.07 and 9,674.60

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Solution

The fourth proportional to 12,186.41, 16,816.07 and 9,674.60 is: 13,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.41 : 16,816.07 = 9,674.60 : x
  2. Step 2: Convert to fraction form
    12,186.41/16,816.07 = 9,674.60/x
  3. Step 3: Cross multiply
    12,186.41x = 16,816.07 × 9,674.60
  4. Step 4: Simplify right side
    12,186.41x = 162,688,690.93
  5. Step 5: Solve for x
    x = 162,688,690.93/12,186.41
  6. Step 6: Final answer
    x = 13,350.02

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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.