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Finding the Fourth Proportional to 21,176.85, 31,768.22 and 7,140.90

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Solution

The fourth proportional to 21,176.85, 31,768.22 and 7,140.90 is: 10,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176.85 : 31,768.22 = 7,140.90 : x
  2. Step 2: Convert to fraction form
    21,176.85/31,768.22 = 7,140.90/x
  3. Step 3: Cross multiply
    21,176.85x = 31,768.22 × 7,140.90
  4. Step 4: Simplify right side
    21,176.85x = 226,853,646.49
  5. Step 5: Solve for x
    x = 226,853,646.49/21,176.85
  6. Step 6: Final answer
    x = 10,712.34

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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.