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Finding the Fourth Proportional to 20,409.66, 28,163.58 and 12,454.38

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Solution

The fourth proportional to 20,409.66, 28,163.58 and 12,454.38 is: 17,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.66 : 28,163.58 = 12,454.38 : x
  2. Step 2: Convert to fraction form
    20,409.66/28,163.58 = 12,454.38/x
  3. Step 3: Cross multiply
    20,409.66x = 28,163.58 × 12,454.38
  4. Step 4: Simplify right side
    20,409.66x = 350,759,927.48
  5. Step 5: Solve for x
    x = 350,759,927.48/20,409.66
  6. Step 6: Final answer
    x = 17,185.98

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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.