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Finding the Fourth Proportional to 20,023.88, 27,634 and 11,527.28

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Solution

The fourth proportional to 20,023.88, 27,634 and 11,527.28 is: 15,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023.88 : 27,634 = 11,527.28 : x
  2. Step 2: Convert to fraction form
    20,023.88/27,634 = 11,527.28/x
  3. Step 3: Cross multiply
    20,023.88x = 27,634 × 11,527.28
  4. Step 4: Simplify right side
    20,023.88x = 318,544,855.52
  5. Step 5: Solve for x
    x = 318,544,855.52/20,023.88
  6. Step 6: Final answer
    x = 15,908.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.