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Finding the Fourth Proportional to 19,688, 29,532 and 5,096

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Solution

The fourth proportional to 19,688, 29,532 and 5,096 is: 7,644

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688 : 29,532 = 5,096 : x
  2. Step 2: Convert to fraction form
    19,688/29,532 = 5,096/x
  3. Step 3: Cross multiply
    19,688x = 29,532 × 5,096
  4. Step 4: Simplify right side
    19,688x = 150,495,072
  5. Step 5: Solve for x
    x = 150,495,072/19,688
  6. Step 6: Final answer
    x = 7,644

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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.