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Finding the Fourth Proportional to 13,403.14, 18,496.22 and 7,434.86

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Solution

The fourth proportional to 13,403.14, 18,496.22 and 7,434.86 is: 10,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.14 : 18,496.22 = 7,434.86 : x
  2. Step 2: Convert to fraction form
    13,403.14/18,496.22 = 7,434.86/x
  3. Step 3: Cross multiply
    13,403.14x = 18,496.22 × 7,434.86
  4. Step 4: Simplify right side
    13,403.14x = 137,516,676.57
  5. Step 5: Solve for x
    x = 137,516,676.57/13,403.14
  6. Step 6: Final answer
    x = 10,260.04

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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.