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Finding the Fourth Proportional to 12,438.54, 17,165.33 and 7,133.85

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Solution

The fourth proportional to 12,438.54, 17,165.33 and 7,133.85 is: 9,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.54 : 17,165.33 = 7,133.85 : x
  2. Step 2: Convert to fraction form
    12,438.54/17,165.33 = 7,133.85/x
  3. Step 3: Cross multiply
    12,438.54x = 17,165.33 × 7,133.85
  4. Step 4: Simplify right side
    12,438.54x = 122,454,889.42
  5. Step 5: Solve for x
    x = 122,454,889.42/12,438.54
  6. Step 6: Final answer
    x = 9,844.80

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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.