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Finding the Fourth Proportional to 20,785, 28,683.30 and 11,353.60

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Solution

The fourth proportional to 20,785, 28,683.30 and 11,353.60 is: 15,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,785 : 28,683.30 = 11,353.60 : x
  2. Step 2: Convert to fraction form
    20,785/28,683.30 = 11,353.60/x
  3. Step 3: Cross multiply
    20,785x = 28,683.30 × 11,353.60
  4. Step 4: Simplify right side
    20,785x = 325,658,714.88
  5. Step 5: Solve for x
    x = 325,658,714.88/20,785
  6. Step 6: Final answer
    x = 15,667.97

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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.