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Finding the Fourth Proportional to 15,480.38, 21,362.32 and 8,406.64

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Solution

The fourth proportional to 15,480.38, 21,362.32 and 8,406.64 is: 11,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,480.38 : 21,362.32 = 8,406.64 : x
  2. Step 2: Convert to fraction form
    15,480.38/21,362.32 = 8,406.64/x
  3. Step 3: Cross multiply
    15,480.38x = 21,362.32 × 8,406.64
  4. Step 4: Simplify right side
    15,480.38x = 179,585,333.80
  5. Step 5: Solve for x
    x = 179,585,333.80/15,480.38
  6. Step 6: Final answer
    x = 11,600.83

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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.