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Finding the Fourth Proportional to 21,955.86, 30,299.12 and 11,884.32

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Solution

The fourth proportional to 21,955.86, 30,299.12 and 11,884.32 is: 16,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,955.86 : 30,299.12 = 11,884.32 : x
  2. Step 2: Convert to fraction form
    21,955.86/30,299.12 = 11,884.32/x
  3. Step 3: Cross multiply
    21,955.86x = 30,299.12 × 11,884.32
  4. Step 4: Simplify right side
    21,955.86x = 360,084,378.38
  5. Step 5: Solve for x
    x = 360,084,378.38/21,955.86
  6. Step 6: Final answer
    x = 16,400.38

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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.