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Finding the Fourth Proportional to 20,052.96, 30,078.84 and 9,530.58

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Solution

The fourth proportional to 20,052.96, 30,078.84 and 9,530.58 is: 14,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,052.96 : 30,078.84 = 9,530.58 : x
  2. Step 2: Convert to fraction form
    20,052.96/30,078.84 = 9,530.58/x
  3. Step 3: Cross multiply
    20,052.96x = 30,078.84 × 9,530.58
  4. Step 4: Simplify right side
    20,052.96x = 286,668,790.93
  5. Step 5: Solve for x
    x = 286,668,790.93/20,052.96
  6. Step 6: Final answer
    x = 14,295.58

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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.