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Finding the Fourth Proportional to 21,184.85, 29,222.95 and 13,213.23

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Solution

The fourth proportional to 21,184.85, 29,222.95 and 13,213.23 is: 18,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,184.85 : 29,222.95 = 13,213.23 : x
  2. Step 2: Convert to fraction form
    21,184.85/29,222.95 = 13,213.23/x
  3. Step 3: Cross multiply
    21,184.85x = 29,222.95 × 13,213.23
  4. Step 4: Simplify right side
    21,184.85x = 386,129,559.63
  5. Step 5: Solve for x
    x = 386,129,559.63/21,184.85
  6. Step 6: Final answer
    x = 18,226.68

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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.