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Finding the Fourth Proportional to 21,179.88, 31,765.64 and 7,138.52

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Solution

The fourth proportional to 21,179.88, 31,765.64 and 7,138.52 is: 10,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,179.88 : 31,765.64 = 7,138.52 : x
  2. Step 2: Convert to fraction form
    21,179.88/31,765.64 = 7,138.52/x
  3. Step 3: Cross multiply
    21,179.88x = 31,765.64 × 7,138.52
  4. Step 4: Simplify right side
    21,179.88x = 226,759,656.45
  5. Step 5: Solve for x
    x = 226,759,656.45/21,179.88
  6. Step 6: Final answer
    x = 10,706.37

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