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Finding the Fourth Proportional to 18,804.64, 28,226.40 and 11,884

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Solution

The fourth proportional to 18,804.64, 28,226.40 and 11,884 is: 17,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,804.64 : 28,226.40 = 11,884 : x
  2. Step 2: Convert to fraction form
    18,804.64/28,226.40 = 11,884/x
  3. Step 3: Cross multiply
    18,804.64x = 28,226.40 × 11,884
  4. Step 4: Simplify right side
    18,804.64x = 335,442,537.60
  5. Step 5: Solve for x
    x = 335,442,537.60/18,804.64
  6. Step 6: Final answer
    x = 17,838.29

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Why These Related Problems?

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