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Finding the Fourth Proportional to 12,186.14, 16,816.74 and 6,880.82

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Solution

The fourth proportional to 12,186.14, 16,816.74 and 6,880.82 is: 9,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.14 : 16,816.74 = 6,880.82 : x
  2. Step 2: Convert to fraction form
    12,186.14/16,816.74 = 6,880.82/x
  3. Step 3: Cross multiply
    12,186.14x = 16,816.74 × 6,880.82
  4. Step 4: Simplify right side
    12,186.14x = 115,712,960.93
  5. Step 5: Solve for x
    x = 115,712,960.93/12,186.14
  6. Step 6: Final answer
    x = 9,495.46

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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.