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Finding the Fourth Proportional to 14,706.84, 22,062.70 and 6,817.26

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Solution

The fourth proportional to 14,706.84, 22,062.70 and 6,817.26 is: 10,227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.84 : 22,062.70 = 6,817.26 : x
  2. Step 2: Convert to fraction form
    14,706.84/22,062.70 = 6,817.26/x
  3. Step 3: Cross multiply
    14,706.84x = 22,062.70 × 6,817.26
  4. Step 4: Simplify right side
    14,706.84x = 150,407,162.20
  5. Step 5: Solve for x
    x = 150,407,162.20/14,706.84
  6. Step 6: Final answer
    x = 10,227.02

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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.