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Finding the Fourth Proportional to 13,743.82, 20,584.54 and 8,746.17

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Solution

The fourth proportional to 13,743.82, 20,584.54 and 8,746.17 is: 13,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.82 : 20,584.54 = 8,746.17 : x
  2. Step 2: Convert to fraction form
    13,743.82/20,584.54 = 8,746.17/x
  3. Step 3: Cross multiply
    13,743.82x = 20,584.54 × 8,746.17
  4. Step 4: Simplify right side
    13,743.82x = 180,035,886.21
  5. Step 5: Solve for x
    x = 180,035,886.21/13,743.82
  6. Step 6: Final answer
    x = 13,099.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.