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Finding the Fourth Proportional to 21,150.72, 31,725.44 and 8,002.88

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Solution

The fourth proportional to 21,150.72, 31,725.44 and 8,002.88 is: 12,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,150.72 : 31,725.44 = 8,002.88 : x
  2. Step 2: Convert to fraction form
    21,150.72/31,725.44 = 8,002.88/x
  3. Step 3: Cross multiply
    21,150.72x = 31,725.44 × 8,002.88
  4. Step 4: Simplify right side
    21,150.72x = 253,894,889.27
  5. Step 5: Solve for x
    x = 253,894,889.27/21,150.72
  6. Step 6: Final answer
    x = 12,004.08

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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.