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Finding the Fourth Proportional to 21,976, 30,326.88 and 12,544.36

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Solution

The fourth proportional to 21,976, 30,326.88 and 12,544.36 is: 17,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976 : 30,326.88 = 12,544.36 : x
  2. Step 2: Convert to fraction form
    21,976/30,326.88 = 12,544.36/x
  3. Step 3: Cross multiply
    21,976x = 30,326.88 × 12,544.36
  4. Step 4: Simplify right side
    21,976x = 380,431,300.40
  5. Step 5: Solve for x
    x = 380,431,300.40/21,976
  6. Step 6: Final answer
    x = 17,311.22

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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.