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Finding the Fourth Proportional to 13,864.57, 19,133.02 and 7,576.94

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Solution

The fourth proportional to 13,864.57, 19,133.02 and 7,576.94 is: 10,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.57 : 19,133.02 = 7,576.94 : x
  2. Step 2: Convert to fraction form
    13,864.57/19,133.02 = 7,576.94/x
  3. Step 3: Cross multiply
    13,864.57x = 19,133.02 × 7,576.94
  4. Step 4: Simplify right side
    13,864.57x = 144,969,744.56
  5. Step 5: Solve for x
    x = 144,969,744.56/13,864.57
  6. Step 6: Final answer
    x = 10,456.13

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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.