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Finding the Fourth Proportional to 20,584.36, 30,886.14 and 7,447.72

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Solution

The fourth proportional to 20,584.36, 30,886.14 and 7,447.72 is: 11,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.36 : 30,886.14 = 7,447.72 : x
  2. Step 2: Convert to fraction form
    20,584.36/30,886.14 = 7,447.72/x
  3. Step 3: Cross multiply
    20,584.36x = 30,886.14 × 7,447.72
  4. Step 4: Simplify right side
    20,584.36x = 230,031,322.60
  5. Step 5: Solve for x
    x = 230,031,322.60/20,584.36
  6. Step 6: Final answer
    x = 11,175.05

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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.