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Finding the Fourth Proportional to 13,288.50, 19,941.39 and 5,080.50

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Solution

The fourth proportional to 13,288.50, 19,941.39 and 5,080.50 is: 7,624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288.50 : 19,941.39 = 5,080.50 : x
  2. Step 2: Convert to fraction form
    13,288.50/19,941.39 = 5,080.50/x
  3. Step 3: Cross multiply
    13,288.50x = 19,941.39 × 5,080.50
  4. Step 4: Simplify right side
    13,288.50x = 101,312,231.90
  5. Step 5: Solve for x
    x = 101,312,231.90/13,288.50
  6. Step 6: Final answer
    x = 7,624.05

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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.