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Finding the Fourth Proportional to 20,706.06, 31,059.45 and 6,855.42

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Solution

The fourth proportional to 20,706.06, 31,059.45 and 6,855.42 is: 10,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.06 : 31,059.45 = 6,855.42 : x
  2. Step 2: Convert to fraction form
    20,706.06/31,059.45 = 6,855.42/x
  3. Step 3: Cross multiply
    20,706.06x = 31,059.45 × 6,855.42
  4. Step 4: Simplify right side
    20,706.06x = 212,925,574.72
  5. Step 5: Solve for x
    x = 212,925,574.72/20,706.06
  6. Step 6: Final answer
    x = 10,283.25

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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.