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Finding the Fourth Proportional to 13,494.56, 20,107.69 and 12,022.40

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Solution

The fourth proportional to 13,494.56, 20,107.69 and 12,022.40 is: 17,914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.56 : 20,107.69 = 12,022.40 : x
  2. Step 2: Convert to fraction form
    13,494.56/20,107.69 = 12,022.40/x
  3. Step 3: Cross multiply
    13,494.56x = 20,107.69 × 12,022.40
  4. Step 4: Simplify right side
    13,494.56x = 241,742,692.26
  5. Step 5: Solve for x
    x = 241,742,692.26/13,494.56
  6. Step 6: Final answer
    x = 17,914.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.