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Finding the Fourth Proportional to 15,452.46, 21,324.02 and 9,400.46

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Solution

The fourth proportional to 15,452.46, 21,324.02 and 9,400.46 is: 12,972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,452.46 : 21,324.02 = 9,400.46 : x
  2. Step 2: Convert to fraction form
    15,452.46/21,324.02 = 9,400.46/x
  3. Step 3: Cross multiply
    15,452.46x = 21,324.02 × 9,400.46
  4. Step 4: Simplify right side
    15,452.46x = 200,455,443.43
  5. Step 5: Solve for x
    x = 200,455,443.43/15,452.46
  6. Step 6: Final answer
    x = 12,972.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.