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Finding the Fourth Proportional to 13,183.80, 19,775.76 and 10,706.88

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Solution

The fourth proportional to 13,183.80, 19,775.76 and 10,706.88 is: 16,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.80 : 19,775.76 = 10,706.88 : x
  2. Step 2: Convert to fraction form
    13,183.80/19,775.76 = 10,706.88/x
  3. Step 3: Cross multiply
    13,183.80x = 19,775.76 × 10,706.88
  4. Step 4: Simplify right side
    13,183.80x = 211,736,689.23
  5. Step 5: Solve for x
    x = 211,736,689.23/13,183.80
  6. Step 6: Final answer
    x = 16,060.37

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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.