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Finding the Fourth Proportional to 26,050.38, 39,076.64 and 7,582.38

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Solution

The fourth proportional to 26,050.38, 39,076.64 and 7,582.38 is: 11,373.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,050.38 : 39,076.64 = 7,582.38 : x
  2. Step 2: Convert to fraction form
    26,050.38/39,076.64 = 7,582.38/x
  3. Step 3: Cross multiply
    26,050.38x = 39,076.64 × 7,582.38
  4. Step 4: Simplify right side
    26,050.38x = 296,293,933.60
  5. Step 5: Solve for x
    x = 296,293,933.60/26,050.38
  6. Step 6: Final answer
    x = 11,373.88

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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.