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Finding the Fourth Proportional to 21,637.86, 29,860 and 12,206.22

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Solution

The fourth proportional to 21,637.86, 29,860 and 12,206.22 is: 16,844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,637.86 : 29,860 = 12,206.22 : x
  2. Step 2: Convert to fraction form
    21,637.86/29,860 = 12,206.22/x
  3. Step 3: Cross multiply
    21,637.86x = 29,860 × 12,206.22
  4. Step 4: Simplify right side
    21,637.86x = 364,477,729.20
  5. Step 5: Solve for x
    x = 364,477,729.20/21,637.86
  6. Step 6: Final answer
    x = 16,844.44

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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.