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Finding the Fourth Proportional to 12,984.42, 17,918.58 and 8,206.48

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Solution

The fourth proportional to 12,984.42, 17,918.58 and 8,206.48 is: 11,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.42 : 17,918.58 = 8,206.48 : x
  2. Step 2: Convert to fraction form
    12,984.42/17,918.58 = 8,206.48/x
  3. Step 3: Cross multiply
    12,984.42x = 17,918.58 × 8,206.48
  4. Step 4: Simplify right side
    12,984.42x = 147,048,455.07
  5. Step 5: Solve for x
    x = 147,048,455.07/12,984.42
  6. Step 6: Final answer
    x = 11,324.99

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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.