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Finding the Fourth Proportional to 13,412.39, 18,508.86 and 7,444.31

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Solution

The fourth proportional to 13,412.39, 18,508.86 and 7,444.31 is: 10,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.39 : 18,508.86 = 7,444.31 : x
  2. Step 2: Convert to fraction form
    13,412.39/18,508.86 = 7,444.31/x
  3. Step 3: Cross multiply
    13,412.39x = 18,508.86 × 7,444.31
  4. Step 4: Simplify right side
    13,412.39x = 137,785,696.37
  5. Step 5: Solve for x
    x = 137,785,696.37/13,412.39
  6. Step 6: Final answer
    x = 10,273.02

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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.