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Finding the Fourth Proportional to 12,964.16, 17,884.32 and 8,485.94

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Solution

The fourth proportional to 12,964.16, 17,884.32 and 8,485.94 is: 11,706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.16 : 17,884.32 = 8,485.94 : x
  2. Step 2: Convert to fraction form
    12,964.16/17,884.32 = 8,485.94/x
  3. Step 3: Cross multiply
    12,964.16x = 17,884.32 × 8,485.94
  4. Step 4: Simplify right side
    12,964.16x = 151,765,266.46
  5. Step 5: Solve for x
    x = 151,765,266.46/12,964.16
  6. Step 6: Final answer
    x = 11,706.53

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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.