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Finding the Fourth Proportional to 12,855.98, 17,735.53 and 8,378.70

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Solution

The fourth proportional to 12,855.98, 17,735.53 and 8,378.70 is: 11,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.98 : 17,735.53 = 8,378.70 : x
  2. Step 2: Convert to fraction form
    12,855.98/17,735.53 = 8,378.70/x
  3. Step 3: Cross multiply
    12,855.98x = 17,735.53 × 8,378.70
  4. Step 4: Simplify right side
    12,855.98x = 148,600,685.21
  5. Step 5: Solve for x
    x = 148,600,685.21/12,855.98
  6. Step 6: Final answer
    x = 11,558.88

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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.