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Finding the Fourth Proportional to 18,205.22, 27,307.84 and 12,347.30

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Solution

The fourth proportional to 18,205.22, 27,307.84 and 12,347.30 is: 18,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.22 : 27,307.84 = 12,347.30 : x
  2. Step 2: Convert to fraction form
    18,205.22/27,307.84 = 12,347.30/x
  3. Step 3: Cross multiply
    18,205.22x = 27,307.84 × 12,347.30
  4. Step 4: Simplify right side
    18,205.22x = 337,178,092.83
  5. Step 5: Solve for x
    x = 337,178,092.83/18,205.22
  6. Step 6: Final answer
    x = 18,520.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.