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Finding the Fourth Proportional to 13,739.14, 20,601.78 and 9,788.14

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Solution

The fourth proportional to 13,739.14, 20,601.78 and 9,788.14 is: 14,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.14 : 20,601.78 = 9,788.14 : x
  2. Step 2: Convert to fraction form
    13,739.14/20,601.78 = 9,788.14/x
  3. Step 3: Cross multiply
    13,739.14x = 20,601.78 × 9,788.14
  4. Step 4: Simplify right side
    13,739.14x = 201,653,106.89
  5. Step 5: Solve for x
    x = 201,653,106.89/13,739.14
  6. Step 6: Final answer
    x = 14,677.27

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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.