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Finding the Fourth Proportional to 20,705.92, 28,568.64 and 13,258.24

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Solution

The fourth proportional to 20,705.92, 28,568.64 and 13,258.24 is: 18,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.92 : 28,568.64 = 13,258.24 : x
  2. Step 2: Convert to fraction form
    20,705.92/28,568.64 = 13,258.24/x
  3. Step 3: Cross multiply
    20,705.92x = 28,568.64 × 13,258.24
  4. Step 4: Simplify right side
    20,705.92x = 378,769,885.59
  5. Step 5: Solve for x
    x = 378,769,885.59/20,705.92
  6. Step 6: Final answer
    x = 18,292.83

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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.