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Finding the Fourth Proportional to 13,882.37, 20,825.37 and 7,308.91

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Solution

The fourth proportional to 13,882.37, 20,825.37 and 7,308.91 is: 10,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.37 : 20,825.37 = 7,308.91 : x
  2. Step 2: Convert to fraction form
    13,882.37/20,825.37 = 7,308.91/x
  3. Step 3: Cross multiply
    13,882.37x = 20,825.37 × 7,308.91
  4. Step 4: Simplify right side
    13,882.37x = 152,210,760.52
  5. Step 5: Solve for x
    x = 152,210,760.52/13,882.37
  6. Step 6: Final answer
    x = 10,964.32

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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.