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Finding the Fourth Proportional to 26,538.94, 39,815.29 and 7,819.63

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Solution

The fourth proportional to 26,538.94, 39,815.29 and 7,819.63 is: 11,731.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538.94 : 39,815.29 = 7,819.63 : x
  2. Step 2: Convert to fraction form
    26,538.94/39,815.29 = 7,819.63/x
  3. Step 3: Cross multiply
    26,538.94x = 39,815.29 × 7,819.63
  4. Step 4: Simplify right side
    26,538.94x = 311,340,916.13
  5. Step 5: Solve for x
    x = 311,340,916.13/26,538.94
  6. Step 6: Final answer
    x = 11,731.48

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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.