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Finding the Fourth Proportional to 18,976.14, 28,465.32 and 5,828.64

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Solution

The fourth proportional to 18,976.14, 28,465.32 and 5,828.64 is: 8,743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,976.14 : 28,465.32 = 5,828.64 : x
  2. Step 2: Convert to fraction form
    18,976.14/28,465.32 = 5,828.64/x
  3. Step 3: Cross multiply
    18,976.14x = 28,465.32 × 5,828.64
  4. Step 4: Simplify right side
    18,976.14x = 165,914,102.76
  5. Step 5: Solve for x
    x = 165,914,102.76/18,976.14
  6. Step 6: Final answer
    x = 8,743.30

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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.