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Finding the Fourth Proportional to 26,669.52, 39,992.76 and 10,242

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Solution

The fourth proportional to 26,669.52, 39,992.76 and 10,242 is: 15,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,669.52 : 39,992.76 = 10,242 : x
  2. Step 2: Convert to fraction form
    26,669.52/39,992.76 = 10,242/x
  3. Step 3: Cross multiply
    26,669.52x = 39,992.76 × 10,242
  4. Step 4: Simplify right side
    26,669.52x = 409,605,847.92
  5. Step 5: Solve for x
    x = 409,605,847.92/26,669.52
  6. Step 6: Final answer
    x = 15,358.58

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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.