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Finding the Fourth Proportional to 13,096, 19,647.20 and 4,888

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Solution

The fourth proportional to 13,096, 19,647.20 and 4,888 is: 7,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096 : 19,647.20 = 4,888 : x
  2. Step 2: Convert to fraction form
    13,096/19,647.20 = 4,888/x
  3. Step 3: Cross multiply
    13,096x = 19,647.20 × 4,888
  4. Step 4: Simplify right side
    13,096x = 96,035,513.60
  5. Step 5: Solve for x
    x = 96,035,513.60/13,096
  6. Step 6: Final answer
    x = 7,333.19

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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.