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Finding the Fourth Proportional to 21,090.50, 31,641.04 and 6,299.36

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Solution

The fourth proportional to 21,090.50, 31,641.04 and 6,299.36 is: 9,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,090.50 : 31,641.04 = 6,299.36 : x
  2. Step 2: Convert to fraction form
    21,090.50/31,641.04 = 6,299.36/x
  3. Step 3: Cross multiply
    21,090.50x = 31,641.04 × 6,299.36
  4. Step 4: Simplify right side
    21,090.50x = 199,318,301.73
  5. Step 5: Solve for x
    x = 199,318,301.73/21,090.50
  6. Step 6: Final answer
    x = 9,450.62

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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.