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Finding the Fourth Proportional to 26,438.80, 39,658.20 and 19,782.24

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Solution

The fourth proportional to 26,438.80, 39,658.20 and 19,782.24 is: 29,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,438.80 : 39,658.20 = 19,782.24 : x
  2. Step 2: Convert to fraction form
    26,438.80/39,658.20 = 19,782.24/x
  3. Step 3: Cross multiply
    26,438.80x = 39,658.20 × 19,782.24
  4. Step 4: Simplify right side
    26,438.80x = 784,528,030.37
  5. Step 5: Solve for x
    x = 784,528,030.37/26,438.80
  6. Step 6: Final answer
    x = 29,673.36

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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.