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Finding the Fourth Proportional to 20,785.36, 28,674.66 and 12,397

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Solution

The fourth proportional to 20,785.36, 28,674.66 and 12,397 is: 17,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,785.36 : 28,674.66 = 12,397 : x
  2. Step 2: Convert to fraction form
    20,785.36/28,674.66 = 12,397/x
  3. Step 3: Cross multiply
    20,785.36x = 28,674.66 × 12,397
  4. Step 4: Simplify right side
    20,785.36x = 355,479,760.02
  5. Step 5: Solve for x
    x = 355,479,760.02/20,785.36
  6. Step 6: Final answer
    x = 17,102.41

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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.