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Finding the Fourth Proportional to 39,805.41, 59,704.17 and 13,509.78

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Solution

The fourth proportional to 39,805.41, 59,704.17 and 13,509.78 is: 20,263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,805.41 : 59,704.17 = 13,509.78 : x
  2. Step 2: Convert to fraction form
    39,805.41/59,704.17 = 13,509.78/x
  3. Step 3: Cross multiply
    39,805.41x = 59,704.17 × 13,509.78
  4. Step 4: Simplify right side
    39,805.41x = 806,590,201.78
  5. Step 5: Solve for x
    x = 806,590,201.78/39,805.41
  6. Step 6: Final answer
    x = 20,263.33

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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.