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Finding the Fourth Proportional to 12,523.84, 17,282.90 and 6,858.60

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Solution

The fourth proportional to 12,523.84, 17,282.90 and 6,858.60 is: 9,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.84 : 17,282.90 = 6,858.60 : x
  2. Step 2: Convert to fraction form
    12,523.84/17,282.90 = 6,858.60/x
  3. Step 3: Cross multiply
    12,523.84x = 17,282.90 × 6,858.60
  4. Step 4: Simplify right side
    12,523.84x = 118,536,497.94
  5. Step 5: Solve for x
    x = 118,536,497.94/12,523.84
  6. Step 6: Final answer
    x = 9,464.87

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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.