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Finding the Fourth Proportional to 14,381.05, 21,576.76 and 5,022.45

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Solution

The fourth proportional to 14,381.05, 21,576.76 and 5,022.45 is: 7,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.05 : 21,576.76 = 5,022.45 : x
  2. Step 2: Convert to fraction form
    14,381.05/21,576.76 = 5,022.45/x
  3. Step 3: Cross multiply
    14,381.05x = 21,576.76 × 5,022.45
  4. Step 4: Simplify right side
    14,381.05x = 108,368,204.54
  5. Step 5: Solve for x
    x = 108,368,204.54/14,381.05
  6. Step 6: Final answer
    x = 7,535.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.