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Finding the Fourth Proportional to 20,565, 30,781.28 and 13,550.84

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Solution

The fourth proportional to 20,565, 30,781.28 and 13,550.84 is: 20,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565 : 30,781.28 = 13,550.84 : x
  2. Step 2: Convert to fraction form
    20,565/30,781.28 = 13,550.84/x
  3. Step 3: Cross multiply
    20,565x = 30,781.28 × 13,550.84
  4. Step 4: Simplify right side
    20,565x = 417,112,200.28
  5. Step 5: Solve for x
    x = 417,112,200.28/20,565
  6. Step 6: Final answer
    x = 20,282.63

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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.