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Finding the Fourth Proportional to 21,208.80, 31,824 and 8,738.40

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Solution

The fourth proportional to 21,208.80, 31,824 and 8,738.40 is: 13,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208.80 : 31,824 = 8,738.40 : x
  2. Step 2: Convert to fraction form
    21,208.80/31,824 = 8,738.40/x
  3. Step 3: Cross multiply
    21,208.80x = 31,824 × 8,738.40
  4. Step 4: Simplify right side
    21,208.80x = 278,090,841.60
  5. Step 5: Solve for x
    x = 278,090,841.60/21,208.80
  6. Step 6: Final answer
    x = 13,112.05

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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.