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Finding the Fourth Proportional to 20,417.44, 28,175.16 and 11,464.78

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Solution

The fourth proportional to 20,417.44, 28,175.16 and 11,464.78 is: 15,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,417.44 : 28,175.16 = 11,464.78 : x
  2. Step 2: Convert to fraction form
    20,417.44/28,175.16 = 11,464.78/x
  3. Step 3: Cross multiply
    20,417.44x = 28,175.16 × 11,464.78
  4. Step 4: Simplify right side
    20,417.44x = 323,022,010.86
  5. Step 5: Solve for x
    x = 323,022,010.86/20,417.44
  6. Step 6: Final answer
    x = 15,820.89

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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.