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Finding the Fourth Proportional to 26,596.19, 39,882.02 and 7,869.53

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Solution

The fourth proportional to 26,596.19, 39,882.02 and 7,869.53 is: 11,800.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,596.19 : 39,882.02 = 7,869.53 : x
  2. Step 2: Convert to fraction form
    26,596.19/39,882.02 = 7,869.53/x
  3. Step 3: Cross multiply
    26,596.19x = 39,882.02 × 7,869.53
  4. Step 4: Simplify right side
    26,596.19x = 313,852,514.09
  5. Step 5: Solve for x
    x = 313,852,514.09/26,596.19
  6. Step 6: Final answer
    x = 11,800.66

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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.