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Finding the Fourth Proportional to 13,224.52, 18,253.70 and 7,562.46

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Solution

The fourth proportional to 13,224.52, 18,253.70 and 7,562.46 is: 10,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.52 : 18,253.70 = 7,562.46 : x
  2. Step 2: Convert to fraction form
    13,224.52/18,253.70 = 7,562.46/x
  3. Step 3: Cross multiply
    13,224.52x = 18,253.70 × 7,562.46
  4. Step 4: Simplify right side
    13,224.52x = 138,042,977.64
  5. Step 5: Solve for x
    x = 138,042,977.64/13,224.52
  6. Step 6: Final answer
    x = 10,438.41

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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.