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Finding the Fourth Proportional to 26,523.90, 39,780.22 and 7,798.84

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Solution

The fourth proportional to 26,523.90, 39,780.22 and 7,798.84 is: 11,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,523.90 : 39,780.22 = 7,798.84 : x
  2. Step 2: Convert to fraction form
    26,523.90/39,780.22 = 7,798.84/x
  3. Step 3: Cross multiply
    26,523.90x = 39,780.22 × 7,798.84
  4. Step 4: Simplify right side
    26,523.90x = 310,239,570.94
  5. Step 5: Solve for x
    x = 310,239,570.94/26,523.90
  6. Step 6: Final answer
    x = 11,696.60

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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.