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Finding the Fourth Proportional to 15,643.29, 23,460.82 and 5,785.39

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Solution

The fourth proportional to 15,643.29, 23,460.82 and 5,785.39 is: 8,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.29 : 23,460.82 = 5,785.39 : x
  2. Step 2: Convert to fraction form
    15,643.29/23,460.82 = 5,785.39/x
  3. Step 3: Cross multiply
    15,643.29x = 23,460.82 × 5,785.39
  4. Step 4: Simplify right side
    15,643.29x = 135,729,993.42
  5. Step 5: Solve for x
    x = 135,729,993.42/15,643.29
  6. Step 6: Final answer
    x = 8,676.56

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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.