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Finding the Fourth Proportional to 12,505.41, 17,257.21 and 6,840.14

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Solution

The fourth proportional to 12,505.41, 17,257.21 and 6,840.14 is: 9,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.41 : 17,257.21 = 6,840.14 : x
  2. Step 2: Convert to fraction form
    12,505.41/17,257.21 = 6,840.14/x
  3. Step 3: Cross multiply
    12,505.41x = 17,257.21 × 6,840.14
  4. Step 4: Simplify right side
    12,505.41x = 118,041,732.41
  5. Step 5: Solve for x
    x = 118,041,732.41/12,505.41
  6. Step 6: Final answer
    x = 9,439.25

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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.