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Finding the Fourth Proportional to 13,247.64, 19,882.85 and 7,693.27

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Solution

The fourth proportional to 13,247.64, 19,882.85 and 7,693.27 is: 11,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,247.64 : 19,882.85 = 7,693.27 : x
  2. Step 2: Convert to fraction form
    13,247.64/19,882.85 = 7,693.27/x
  3. Step 3: Cross multiply
    13,247.64x = 19,882.85 × 7,693.27
  4. Step 4: Simplify right side
    13,247.64x = 152,964,133.42
  5. Step 5: Solve for x
    x = 152,964,133.42/13,247.64
  6. Step 6: Final answer
    x = 11,546.52

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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.