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Finding the Fourth Proportional to 12,286.62, 16,955.42 and 6,697.50

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Solution

The fourth proportional to 12,286.62, 16,955.42 and 6,697.50 is: 9,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.62 : 16,955.42 = 6,697.50 : x
  2. Step 2: Convert to fraction form
    12,286.62/16,955.42 = 6,697.50/x
  3. Step 3: Cross multiply
    12,286.62x = 16,955.42 × 6,697.50
  4. Step 4: Simplify right side
    12,286.62x = 113,558,925.45
  5. Step 5: Solve for x
    x = 113,558,925.45/12,286.62
  6. Step 6: Final answer
    x = 9,242.49

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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.