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Finding the Fourth Proportional to 12,459.26, 17,194.47 and 8,264.54

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Solution

The fourth proportional to 12,459.26, 17,194.47 and 8,264.54 is: 11,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,459.26 : 17,194.47 = 8,264.54 : x
  2. Step 2: Convert to fraction form
    12,459.26/17,194.47 = 8,264.54/x
  3. Step 3: Cross multiply
    12,459.26x = 17,194.47 × 8,264.54
  4. Step 4: Simplify right side
    12,459.26x = 142,104,385.09
  5. Step 5: Solve for x
    x = 142,104,385.09/12,459.26
  6. Step 6: Final answer
    x = 11,405.52

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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.