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Finding the Fourth Proportional to 13,568.51, 18,723.12 and 7,826.59

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Solution

The fourth proportional to 13,568.51, 18,723.12 and 7,826.59 is: 10,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.51 : 18,723.12 = 7,826.59 : x
  2. Step 2: Convert to fraction form
    13,568.51/18,723.12 = 7,826.59/x
  3. Step 3: Cross multiply
    13,568.51x = 18,723.12 × 7,826.59
  4. Step 4: Simplify right side
    13,568.51x = 146,538,177.81
  5. Step 5: Solve for x
    x = 146,538,177.81/13,568.51
  6. Step 6: Final answer
    x = 10,799.87

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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.