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Finding the Fourth Proportional to 20,684.84, 28,548 and 11,734.55

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Solution

The fourth proportional to 20,684.84, 28,548 and 11,734.55 is: 16,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.84 : 28,548 = 11,734.55 : x
  2. Step 2: Convert to fraction form
    20,684.84/28,548 = 11,734.55/x
  3. Step 3: Cross multiply
    20,684.84x = 28,548 × 11,734.55
  4. Step 4: Simplify right side
    20,684.84x = 334,997,933.40
  5. Step 5: Solve for x
    x = 334,997,933.40/20,684.84
  6. Step 6: Final answer
    x = 16,195.34

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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.