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Finding the Fourth Proportional to 13,343.36, 20,010.24 and 4,576

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Solution

The fourth proportional to 13,343.36, 20,010.24 and 4,576 is: 6,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.36 : 20,010.24 = 4,576 : x
  2. Step 2: Convert to fraction form
    13,343.36/20,010.24 = 4,576/x
  3. Step 3: Cross multiply
    13,343.36x = 20,010.24 × 4,576
  4. Step 4: Simplify right side
    13,343.36x = 91,566,858.24
  5. Step 5: Solve for x
    x = 91,566,858.24/13,343.36
  6. Step 6: Final answer
    x = 6,862.35

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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.