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Finding the Fourth Proportional to 12,617.64, 17,409.60 and 8,637.84

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Solution

The fourth proportional to 12,617.64, 17,409.60 and 8,637.84 is: 11,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.64 : 17,409.60 = 8,637.84 : x
  2. Step 2: Convert to fraction form
    12,617.64/17,409.60 = 8,637.84/x
  3. Step 3: Cross multiply
    12,617.64x = 17,409.60 × 8,637.84
  4. Step 4: Simplify right side
    12,617.64x = 150,381,339.26
  5. Step 5: Solve for x
    x = 150,381,339.26/12,617.64
  6. Step 6: Final answer
    x = 11,918.34

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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.