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Finding the Fourth Proportional to 26,503.92, 39,754.62 and 7,783.20

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Solution

The fourth proportional to 26,503.92, 39,754.62 and 7,783.20 is: 11,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,503.92 : 39,754.62 = 7,783.20 : x
  2. Step 2: Convert to fraction form
    26,503.92/39,754.62 = 7,783.20/x
  3. Step 3: Cross multiply
    26,503.92x = 39,754.62 × 7,783.20
  4. Step 4: Simplify right side
    26,503.92x = 309,418,158.38
  5. Step 5: Solve for x
    x = 309,418,158.38/26,503.92
  6. Step 6: Final answer
    x = 11,674.43

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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.