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Finding the Fourth Proportional to 13,405.75, 20,048.24 and 10,244.14

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Solution

The fourth proportional to 13,405.75, 20,048.24 and 10,244.14 is: 15,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.75 : 20,048.24 = 10,244.14 : x
  2. Step 2: Convert to fraction form
    13,405.75/20,048.24 = 10,244.14/x
  3. Step 3: Cross multiply
    13,405.75x = 20,048.24 × 10,244.14
  4. Step 4: Simplify right side
    13,405.75x = 205,376,952.80
  5. Step 5: Solve for x
    x = 205,376,952.80/13,405.75
  6. Step 6: Final answer
    x = 15,320.07

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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.