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Finding the Fourth Proportional to 21,819.24, 32,724 and 10,126.08

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Solution

The fourth proportional to 21,819.24, 32,724 and 10,126.08 is: 15,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,819.24 : 32,724 = 10,126.08 : x
  2. Step 2: Convert to fraction form
    21,819.24/32,724 = 10,126.08/x
  3. Step 3: Cross multiply
    21,819.24x = 32,724 × 10,126.08
  4. Step 4: Simplify right side
    21,819.24x = 331,365,841.92
  5. Step 5: Solve for x
    x = 331,365,841.92/21,819.24
  6. Step 6: Final answer
    x = 15,186.86

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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.