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Finding the Fourth Proportional to 13,162.56, 18,164.78 and 7,498.14

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Solution

The fourth proportional to 13,162.56, 18,164.78 and 7,498.14 is: 10,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,162.56 : 18,164.78 = 7,498.14 : x
  2. Step 2: Convert to fraction form
    13,162.56/18,164.78 = 7,498.14/x
  3. Step 3: Cross multiply
    13,162.56x = 18,164.78 × 7,498.14
  4. Step 4: Simplify right side
    13,162.56x = 136,202,063.51
  5. Step 5: Solve for x
    x = 136,202,063.51/13,162.56
  6. Step 6: Final answer
    x = 10,347.69

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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.