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Finding the Fourth Proportional to 21,156.64, 31,672.64 and 15,634.64

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Solution

The fourth proportional to 21,156.64, 31,672.64 and 15,634.64 is: 23,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,156.64 : 31,672.64 = 15,634.64 : x
  2. Step 2: Convert to fraction form
    21,156.64/31,672.64 = 15,634.64/x
  3. Step 3: Cross multiply
    21,156.64x = 31,672.64 × 15,634.64
  4. Step 4: Simplify right side
    21,156.64x = 495,190,324.25
  5. Step 5: Solve for x
    x = 495,190,324.25/21,156.64
  6. Step 6: Final answer
    x = 23,405.91

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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.