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Finding the Fourth Proportional to 13,406.38, 18,494.37 and 9,815.68

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Solution

The fourth proportional to 13,406.38, 18,494.37 and 9,815.68 is: 13,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.38 : 18,494.37 = 9,815.68 : x
  2. Step 2: Convert to fraction form
    13,406.38/18,494.37 = 9,815.68/x
  3. Step 3: Cross multiply
    13,406.38x = 18,494.37 × 9,815.68
  4. Step 4: Simplify right side
    13,406.38x = 181,534,817.72
  5. Step 5: Solve for x
    x = 181,534,817.72/13,406.38
  6. Step 6: Final answer
    x = 13,540.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.