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Finding the Fourth Proportional to 14,311.18, 19,754.08 and 9,266.50

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Solution

The fourth proportional to 14,311.18, 19,754.08 and 9,266.50 is: 12,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.18 : 19,754.08 = 9,266.50 : x
  2. Step 2: Convert to fraction form
    14,311.18/19,754.08 = 9,266.50/x
  3. Step 3: Cross multiply
    14,311.18x = 19,754.08 × 9,266.50
  4. Step 4: Simplify right side
    14,311.18x = 183,051,183.85
  5. Step 5: Solve for x
    x = 183,051,183.85/14,311.18
  6. Step 6: Final answer
    x = 12,790.78

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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.