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Finding the Fourth Proportional to 21,549.40, 32,324.04 and 6,758.40

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Solution

The fourth proportional to 21,549.40, 32,324.04 and 6,758.40 is: 10,137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,549.40 : 32,324.04 = 6,758.40 : x
  2. Step 2: Convert to fraction form
    21,549.40/32,324.04 = 6,758.40/x
  3. Step 3: Cross multiply
    21,549.40x = 32,324.04 × 6,758.40
  4. Step 4: Simplify right side
    21,549.40x = 218,458,791.94
  5. Step 5: Solve for x
    x = 218,458,791.94/21,549.40
  6. Step 6: Final answer
    x = 10,137.58

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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.