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Finding the Fourth Proportional to 13,706.28, 18,905.27 and 8,403.75

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Solution

The fourth proportional to 13,706.28, 18,905.27 and 8,403.75 is: 11,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.28 : 18,905.27 = 8,403.75 : x
  2. Step 2: Convert to fraction form
    13,706.28/18,905.27 = 8,403.75/x
  3. Step 3: Cross multiply
    13,706.28x = 18,905.27 × 8,403.75
  4. Step 4: Simplify right side
    13,706.28x = 158,875,120.74
  5. Step 5: Solve for x
    x = 158,875,120.74/13,706.28
  6. Step 6: Final answer
    x = 11,591.41

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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.