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Finding the Fourth Proportional to 21,113.72, 31,670.34 and 8,640.44

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Solution

The fourth proportional to 21,113.72, 31,670.34 and 8,640.44 is: 12,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,113.72 : 31,670.34 = 8,640.44 : x
  2. Step 2: Convert to fraction form
    21,113.72/31,670.34 = 8,640.44/x
  3. Step 3: Cross multiply
    21,113.72x = 31,670.34 × 8,640.44
  4. Step 4: Simplify right side
    21,113.72x = 273,645,672.55
  5. Step 5: Solve for x
    x = 273,645,672.55/21,113.72
  6. Step 6: Final answer
    x = 12,960.56

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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.