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Finding the Fourth Proportional to 13,732.54, 18,950.70 and 7,764

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Solution

The fourth proportional to 13,732.54, 18,950.70 and 7,764 is: 10,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.54 : 18,950.70 = 7,764 : x
  2. Step 2: Convert to fraction form
    13,732.54/18,950.70 = 7,764/x
  3. Step 3: Cross multiply
    13,732.54x = 18,950.70 × 7,764
  4. Step 4: Simplify right side
    13,732.54x = 147,133,234.80
  5. Step 5: Solve for x
    x = 147,133,234.80/13,732.54
  6. Step 6: Final answer
    x = 10,714.20

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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.