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Finding the Fourth Proportional to 21,637.58, 29,859.98 and 12,206.75

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Solution

The fourth proportional to 21,637.58, 29,859.98 and 12,206.75 is: 16,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,637.58 : 29,859.98 = 12,206.75 : x
  2. Step 2: Convert to fraction form
    21,637.58/29,859.98 = 12,206.75/x
  3. Step 3: Cross multiply
    21,637.58x = 29,859.98 × 12,206.75
  4. Step 4: Simplify right side
    21,637.58x = 364,493,100.53
  5. Step 5: Solve for x
    x = 364,493,100.53/21,637.58
  6. Step 6: Final answer
    x = 16,845.38

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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.