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Finding the Fourth Proportional to 20,838.56, 28,758.16 and 12,874.64

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Solution

The fourth proportional to 20,838.56, 28,758.16 and 12,874.64 is: 17,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.56 : 28,758.16 = 12,874.64 : x
  2. Step 2: Convert to fraction form
    20,838.56/28,758.16 = 12,874.64/x
  3. Step 3: Cross multiply
    20,838.56x = 28,758.16 × 12,874.64
  4. Step 4: Simplify right side
    20,838.56x = 370,250,957.06
  5. Step 5: Solve for x
    x = 370,250,957.06/20,838.56
  6. Step 6: Final answer
    x = 17,767.59

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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.