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Finding the Fourth Proportional to 13,517.30, 18,653.54 and 8,411.60

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Solution

The fourth proportional to 13,517.30, 18,653.54 and 8,411.60 is: 11,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.30 : 18,653.54 = 8,411.60 : x
  2. Step 2: Convert to fraction form
    13,517.30/18,653.54 = 8,411.60/x
  3. Step 3: Cross multiply
    13,517.30x = 18,653.54 × 8,411.60
  4. Step 4: Simplify right side
    13,517.30x = 156,906,117.06
  5. Step 5: Solve for x
    x = 156,906,117.06/13,517.30
  6. Step 6: Final answer
    x = 11,607.80

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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.