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Finding the Fourth Proportional to 18,507.26, 27,716.40 and 10,585.76

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Solution

The fourth proportional to 18,507.26, 27,716.40 and 10,585.76 is: 15,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,507.26 : 27,716.40 = 10,585.76 : x
  2. Step 2: Convert to fraction form
    18,507.26/27,716.40 = 10,585.76/x
  3. Step 3: Cross multiply
    18,507.26x = 27,716.40 × 10,585.76
  4. Step 4: Simplify right side
    18,507.26x = 293,399,019.88
  5. Step 5: Solve for x
    x = 293,399,019.88/18,507.26
  6. Step 6: Final answer
    x = 15,853.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.