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Finding the Fourth Proportional to 12,865, 19,297.48 and 8,450.54

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Solution

The fourth proportional to 12,865, 19,297.48 and 8,450.54 is: 12,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865 : 19,297.48 = 8,450.54 : x
  2. Step 2: Convert to fraction form
    12,865/19,297.48 = 8,450.54/x
  3. Step 3: Cross multiply
    12,865x = 19,297.48 × 8,450.54
  4. Step 4: Simplify right side
    12,865x = 163,074,126.64
  5. Step 5: Solve for x
    x = 163,074,126.64/12,865
  6. Step 6: Final answer
    x = 12,675.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.