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Finding the Fourth Proportional to 13,706.40, 20,587.24 and 8,170.56

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Solution

The fourth proportional to 13,706.40, 20,587.24 and 8,170.56 is: 12,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.40 : 20,587.24 = 8,170.56 : x
  2. Step 2: Convert to fraction form
    13,706.40/20,587.24 = 8,170.56/x
  3. Step 3: Cross multiply
    13,706.40x = 20,587.24 × 8,170.56
  4. Step 4: Simplify right side
    13,706.40x = 168,209,300.08
  5. Step 5: Solve for x
    x = 168,209,300.08/13,706.40
  6. Step 6: Final answer
    x = 12,272.32

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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.