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Finding the Fourth Proportional to 15,806.56, 21,817.92 and 10,216.48

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Solution

The fourth proportional to 15,806.56, 21,817.92 and 10,216.48 is: 14,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.56 : 21,817.92 = 10,216.48 : x
  2. Step 2: Convert to fraction form
    15,806.56/21,817.92 = 10,216.48/x
  3. Step 3: Cross multiply
    15,806.56x = 21,817.92 × 10,216.48
  4. Step 4: Simplify right side
    15,806.56x = 222,902,343.32
  5. Step 5: Solve for x
    x = 222,902,343.32/15,806.56
  6. Step 6: Final answer
    x = 14,101.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.