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Finding the Fourth Proportional to 23,122, 34,683.96 and 6,706

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Solution

The fourth proportional to 23,122, 34,683.96 and 6,706 is: 10,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,122 : 34,683.96 = 6,706 : x
  2. Step 2: Convert to fraction form
    23,122/34,683.96 = 6,706/x
  3. Step 3: Cross multiply
    23,122x = 34,683.96 × 6,706
  4. Step 4: Simplify right side
    23,122x = 232,590,635.76
  5. Step 5: Solve for x
    x = 232,590,635.76/23,122
  6. Step 6: Final answer
    x = 10,059.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.