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Finding the Fourth Proportional to 13,247.96, 18,280.71 and 7,584.21

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Solution

The fourth proportional to 13,247.96, 18,280.71 and 7,584.21 is: 10,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,247.96 : 18,280.71 = 7,584.21 : x
  2. Step 2: Convert to fraction form
    13,247.96/18,280.71 = 7,584.21/x
  3. Step 3: Cross multiply
    13,247.96x = 18,280.71 × 7,584.21
  4. Step 4: Simplify right side
    13,247.96x = 138,644,743.59
  5. Step 5: Solve for x
    x = 138,644,743.59/13,247.96
  6. Step 6: Final answer
    x = 10,465.37

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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.