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Finding the Fourth Proportional to 12,452.16, 18,653.20 and 6,193.28

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Solution

The fourth proportional to 12,452.16, 18,653.20 and 6,193.28 is: 9,277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.16 : 18,653.20 = 6,193.28 : x
  2. Step 2: Convert to fraction form
    12,452.16/18,653.20 = 6,193.28/x
  3. Step 3: Cross multiply
    12,452.16x = 18,653.20 × 6,193.28
  4. Step 4: Simplify right side
    12,452.16x = 115,524,490.50
  5. Step 5: Solve for x
    x = 115,524,490.50/12,452.16
  6. Step 6: Final answer
    x = 9,277.47

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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.