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Finding the Fourth Proportional to 12,505.69, 17,257.61 and 6,840.37

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Solution

The fourth proportional to 12,505.69, 17,257.61 and 6,840.37 is: 9,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.69 : 17,257.61 = 6,840.37 : x
  2. Step 2: Convert to fraction form
    12,505.69/17,257.61 = 6,840.37/x
  3. Step 3: Cross multiply
    12,505.69x = 17,257.61 × 6,840.37
  4. Step 4: Simplify right side
    12,505.69x = 118,048,486.45
  5. Step 5: Solve for x
    x = 118,048,486.45/12,505.69
  6. Step 6: Final answer
    x = 9,439.58

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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.