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Finding the Fourth Proportional to 19,757.88, 29,636.84 and 7,917

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Solution

The fourth proportional to 19,757.88, 29,636.84 and 7,917 is: 11,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.88 : 29,636.84 = 7,917 : x
  2. Step 2: Convert to fraction form
    19,757.88/29,636.84 = 7,917/x
  3. Step 3: Cross multiply
    19,757.88x = 29,636.84 × 7,917
  4. Step 4: Simplify right side
    19,757.88x = 234,634,862.28
  5. Step 5: Solve for x
    x = 234,634,862.28/19,757.88
  6. Step 6: Final answer
    x = 11,875.51

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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.