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Finding the Fourth Proportional to 13,415.34, 18,513.24 and 8,382.48

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Solution

The fourth proportional to 13,415.34, 18,513.24 and 8,382.48 is: 11,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.34 : 18,513.24 = 8,382.48 : x
  2. Step 2: Convert to fraction form
    13,415.34/18,513.24 = 8,382.48/x
  3. Step 3: Cross multiply
    13,415.34x = 18,513.24 × 8,382.48
  4. Step 4: Simplify right side
    13,415.34x = 155,186,864.04
  5. Step 5: Solve for x
    x = 155,186,864.04/13,415.34
  6. Step 6: Final answer
    x = 11,567.87

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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.