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Finding the Fourth Proportional to 13,411.44, 18,507.24 and 7,443.36

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Solution

The fourth proportional to 13,411.44, 18,507.24 and 7,443.36 is: 10,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.44 : 18,507.24 = 7,443.36 : x
  2. Step 2: Convert to fraction form
    13,411.44/18,507.24 = 7,443.36/x
  3. Step 3: Cross multiply
    13,411.44x = 18,507.24 × 7,443.36
  4. Step 4: Simplify right side
    13,411.44x = 137,756,049.93
  5. Step 5: Solve for x
    x = 137,756,049.93/13,411.44
  6. Step 6: Final answer
    x = 10,271.53

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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.