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Finding the Fourth Proportional to 20,415.96, 28,174.62 and 11,464.20

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Solution

The fourth proportional to 20,415.96, 28,174.62 and 11,464.20 is: 15,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.96 : 28,174.62 = 11,464.20 : x
  2. Step 2: Convert to fraction form
    20,415.96/28,174.62 = 11,464.20/x
  3. Step 3: Cross multiply
    20,415.96x = 28,174.62 × 11,464.20
  4. Step 4: Simplify right side
    20,415.96x = 322,999,478.60
  5. Step 5: Solve for x
    x = 322,999,478.60/20,415.96
  6. Step 6: Final answer
    x = 15,820.93

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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.