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Finding the Fourth Proportional to 21,212.64, 31,829.22 and 8,736.48

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Solution

The fourth proportional to 21,212.64, 31,829.22 and 8,736.48 is: 13,108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212.64 : 31,829.22 = 8,736.48 : x
  2. Step 2: Convert to fraction form
    21,212.64/31,829.22 = 8,736.48/x
  3. Step 3: Cross multiply
    21,212.64x = 31,829.22 × 8,736.48
  4. Step 4: Simplify right side
    21,212.64x = 278,075,343.95
  5. Step 5: Solve for x
    x = 278,075,343.95/21,212.64
  6. Step 6: Final answer
    x = 13,108.95

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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.