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Finding the Fourth Proportional to 21,637.50, 29,859.75 and 12,205.86

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Solution

The fourth proportional to 21,637.50, 29,859.75 and 12,205.86 is: 16,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,637.50 : 29,859.75 = 12,205.86 : x
  2. Step 2: Convert to fraction form
    21,637.50/29,859.75 = 12,205.86/x
  3. Step 3: Cross multiply
    21,637.50x = 29,859.75 × 12,205.86
  4. Step 4: Simplify right side
    21,637.50x = 364,463,928.14
  5. Step 5: Solve for x
    x = 364,463,928.14/21,637.50
  6. Step 6: Final answer
    x = 16,844.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.