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Finding the Fourth Proportional to 13,651.28, 20,476.88 and 9,033.20

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Solution

The fourth proportional to 13,651.28, 20,476.88 and 9,033.20 is: 13,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.28 : 20,476.88 = 9,033.20 : x
  2. Step 2: Convert to fraction form
    13,651.28/20,476.88 = 9,033.20/x
  3. Step 3: Cross multiply
    13,651.28x = 20,476.88 × 9,033.20
  4. Step 4: Simplify right side
    13,651.28x = 184,971,752.42
  5. Step 5: Solve for x
    x = 184,971,752.42/13,651.28
  6. Step 6: Final answer
    x = 13,549.77

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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.