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Finding the Fourth Proportional to 19,857, 29,782.24 and 6,002.76

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Solution

The fourth proportional to 19,857, 29,782.24 and 6,002.76 is: 9,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857 : 29,782.24 = 6,002.76 : x
  2. Step 2: Convert to fraction form
    19,857/29,782.24 = 6,002.76/x
  3. Step 3: Cross multiply
    19,857x = 29,782.24 × 6,002.76
  4. Step 4: Simplify right side
    19,857x = 178,775,638.98
  5. Step 5: Solve for x
    x = 178,775,638.98/19,857
  6. Step 6: Final answer
    x = 9,003.15

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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.