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Finding the Fourth Proportional to 14,211.20, 21,310.31 and 9,205.40

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Solution

The fourth proportional to 14,211.20, 21,310.31 and 9,205.40 is: 13,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.20 : 21,310.31 = 9,205.40 : x
  2. Step 2: Convert to fraction form
    14,211.20/21,310.31 = 9,205.40/x
  3. Step 3: Cross multiply
    14,211.20x = 21,310.31 × 9,205.40
  4. Step 4: Simplify right side
    14,211.20x = 196,169,927.67
  5. Step 5: Solve for x
    x = 196,169,927.67/14,211.20
  6. Step 6: Final answer
    x = 13,803.90

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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.