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Finding the Fourth Proportional to 14,912.37, 22,371.39 and 5,049

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Solution

The fourth proportional to 14,912.37, 22,371.39 and 5,049 is: 7,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.37 : 22,371.39 = 5,049 : x
  2. Step 2: Convert to fraction form
    14,912.37/22,371.39 = 5,049/x
  3. Step 3: Cross multiply
    14,912.37x = 22,371.39 × 5,049
  4. Step 4: Simplify right side
    14,912.37x = 112,953,148.11
  5. Step 5: Solve for x
    x = 112,953,148.11/14,912.37
  6. Step 6: Final answer
    x = 7,574.46

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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.