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Finding the Fourth Proportional to 21,143.50, 31,714.03 and 6,352.09

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Solution

The fourth proportional to 21,143.50, 31,714.03 and 6,352.09 is: 9,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.50 : 31,714.03 = 6,352.09 : x
  2. Step 2: Convert to fraction form
    21,143.50/31,714.03 = 6,352.09/x
  3. Step 3: Cross multiply
    21,143.50x = 31,714.03 × 6,352.09
  4. Step 4: Simplify right side
    21,143.50x = 201,450,372.82
  5. Step 5: Solve for x
    x = 201,450,372.82/21,143.50
  6. Step 6: Final answer
    x = 9,527.77

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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.