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Finding the Fourth Proportional to 21,178.33, 31,765.76 and 7,138.05

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Solution

The fourth proportional to 21,178.33, 31,765.76 and 7,138.05 is: 10,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.33 : 31,765.76 = 7,138.05 : x
  2. Step 2: Convert to fraction form
    21,178.33/31,765.76 = 7,138.05/x
  3. Step 3: Cross multiply
    21,178.33x = 31,765.76 × 7,138.05
  4. Step 4: Simplify right side
    21,178.33x = 226,745,455.12
  5. Step 5: Solve for x
    x = 226,745,455.12/21,178.33
  6. Step 6: Final answer
    x = 10,706.49

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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.