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Finding the Fourth Proportional to 13,568.54, 18,714.22 and 11,683.40

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Solution

The fourth proportional to 13,568.54, 18,714.22 and 11,683.40 is: 16,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.54 : 18,714.22 = 11,683.40 : x
  2. Step 2: Convert to fraction form
    13,568.54/18,714.22 = 11,683.40/x
  3. Step 3: Cross multiply
    13,568.54x = 18,714.22 × 11,683.40
  4. Step 4: Simplify right side
    13,568.54x = 218,645,717.95
  5. Step 5: Solve for x
    x = 218,645,717.95/13,568.54
  6. Step 6: Final answer
    x = 16,114.17

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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.