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Finding the Fourth Proportional to 13,863.70, 19,131.81 and 7,576.06

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Solution

The fourth proportional to 13,863.70, 19,131.81 and 7,576.06 is: 10,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.70 : 19,131.81 = 7,576.06 : x
  2. Step 2: Convert to fraction form
    13,863.70/19,131.81 = 7,576.06/x
  3. Step 3: Cross multiply
    13,863.70x = 19,131.81 × 7,576.06
  4. Step 4: Simplify right side
    13,863.70x = 144,943,740.47
  5. Step 5: Solve for x
    x = 144,943,740.47/13,863.70
  6. Step 6: Final answer
    x = 10,454.91

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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.