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Finding the Fourth Proportional to 11,706.20, 17,558.70 and 8,425.16

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Solution

The fourth proportional to 11,706.20, 17,558.70 and 8,425.16 is: 12,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.20 : 17,558.70 = 8,425.16 : x
  2. Step 2: Convert to fraction form
    11,706.20/17,558.70 = 8,425.16/x
  3. Step 3: Cross multiply
    11,706.20x = 17,558.70 × 8,425.16
  4. Step 4: Simplify right side
    11,706.20x = 147,934,856.89
  5. Step 5: Solve for x
    x = 147,934,856.89/11,706.20
  6. Step 6: Final answer
    x = 12,637.31

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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.