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Finding the Fourth Proportional to 13,266.24, 19,902.24 and 4,032

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Solution

The fourth proportional to 13,266.24, 19,902.24 and 4,032 is: 6,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.24 : 19,902.24 = 4,032 : x
  2. Step 2: Convert to fraction form
    13,266.24/19,902.24 = 4,032/x
  3. Step 3: Cross multiply
    13,266.24x = 19,902.24 × 4,032
  4. Step 4: Simplify right side
    13,266.24x = 80,245,831.68
  5. Step 5: Solve for x
    x = 80,245,831.68/13,266.24
  6. Step 6: Final answer
    x = 6,048.88

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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.