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Finding the Fourth Proportional to 13,527.56, 20,294.22 and 5,736.20

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Solution

The fourth proportional to 13,527.56, 20,294.22 and 5,736.20 is: 8,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.56 : 20,294.22 = 5,736.20 : x
  2. Step 2: Convert to fraction form
    13,527.56/20,294.22 = 5,736.20/x
  3. Step 3: Cross multiply
    13,527.56x = 20,294.22 × 5,736.20
  4. Step 4: Simplify right side
    13,527.56x = 116,411,704.76
  5. Step 5: Solve for x
    x = 116,411,704.76/13,527.56
  6. Step 6: Final answer
    x = 8,605.52

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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.