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Finding the Fourth Proportional to 13,685.59, 20,477.12 and 9,745.95

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Solution

The fourth proportional to 13,685.59, 20,477.12 and 9,745.95 is: 14,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.59 : 20,477.12 = 9,745.95 : x
  2. Step 2: Convert to fraction form
    13,685.59/20,477.12 = 9,745.95/x
  3. Step 3: Cross multiply
    13,685.59x = 20,477.12 × 9,745.95
  4. Step 4: Simplify right side
    13,685.59x = 199,568,987.66
  5. Step 5: Solve for x
    x = 199,568,987.66/13,685.59
  6. Step 6: Final answer
    x = 14,582.42

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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.