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Finding the Fourth Proportional to 13,742.40, 20,613.60 and 9,368.40

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Solution

The fourth proportional to 13,742.40, 20,613.60 and 9,368.40 is: 14,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.40 : 20,613.60 = 9,368.40 : x
  2. Step 2: Convert to fraction form
    13,742.40/20,613.60 = 9,368.40/x
  3. Step 3: Cross multiply
    13,742.40x = 20,613.60 × 9,368.40
  4. Step 4: Simplify right side
    13,742.40x = 193,116,450.24
  5. Step 5: Solve for x
    x = 193,116,450.24/13,742.40
  6. Step 6: Final answer
    x = 14,052.60

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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.