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Finding the Fourth Proportional to 21,161.50, 29,209.29 and 12,214.84

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Solution

The fourth proportional to 21,161.50, 29,209.29 and 12,214.84 is: 16,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.50 : 29,209.29 = 12,214.84 : x
  2. Step 2: Convert to fraction form
    21,161.50/29,209.29 = 12,214.84/x
  3. Step 3: Cross multiply
    21,161.50x = 29,209.29 × 12,214.84
  4. Step 4: Simplify right side
    21,161.50x = 356,786,803.86
  5. Step 5: Solve for x
    x = 356,786,803.86/21,161.50
  6. Step 6: Final answer
    x = 16,860.18

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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.