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Finding the Fourth Proportional to 20,838.64, 28,757.64 and 11,408.08

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Solution

The fourth proportional to 20,838.64, 28,757.64 and 11,408.08 is: 15,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.64 : 28,757.64 = 11,408.08 : x
  2. Step 2: Convert to fraction form
    20,838.64/28,757.64 = 11,408.08/x
  3. Step 3: Cross multiply
    20,838.64x = 28,757.64 × 11,408.08
  4. Step 4: Simplify right side
    20,838.64x = 328,069,457.73
  5. Step 5: Solve for x
    x = 328,069,457.73/20,838.64
  6. Step 6: Final answer
    x = 15,743.32

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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.