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Finding the Fourth Proportional to 21,207.56, 31,798.27 and 7,166.26

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Solution

The fourth proportional to 21,207.56, 31,798.27 and 7,166.26 is: 10,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,207.56 : 31,798.27 = 7,166.26 : x
  2. Step 2: Convert to fraction form
    21,207.56/31,798.27 = 7,166.26/x
  3. Step 3: Cross multiply
    21,207.56x = 31,798.27 × 7,166.26
  4. Step 4: Simplify right side
    21,207.56x = 227,874,572.96
  5. Step 5: Solve for x
    x = 227,874,572.96/21,207.56
  6. Step 6: Final answer
    x = 10,744.97

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