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Finding the Fourth Proportional to 20,464.24, 28,241 and 11,390.32

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Solution

The fourth proportional to 20,464.24, 28,241 and 11,390.32 is: 15,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464.24 : 28,241 = 11,390.32 : x
  2. Step 2: Convert to fraction form
    20,464.24/28,241 = 11,390.32/x
  3. Step 3: Cross multiply
    20,464.24x = 28,241 × 11,390.32
  4. Step 4: Simplify right side
    20,464.24x = 321,674,027.12
  5. Step 5: Solve for x
    x = 321,674,027.12/20,464.24
  6. Step 6: Final answer
    x = 15,718.84

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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.