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Finding the Fourth Proportional to 20,081.92, 30,102.96 and 9,533.40

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Solution

The fourth proportional to 20,081.92, 30,102.96 and 9,533.40 is: 14,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,081.92 : 30,102.96 = 9,533.40 : x
  2. Step 2: Convert to fraction form
    20,081.92/30,102.96 = 9,533.40/x
  3. Step 3: Cross multiply
    20,081.92x = 30,102.96 × 9,533.40
  4. Step 4: Simplify right side
    20,081.92x = 286,983,558.86
  5. Step 5: Solve for x
    x = 286,983,558.86/20,081.92
  6. Step 6: Final answer
    x = 14,290.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.