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Finding the Fourth Proportional to 15,765.25, 21,756.05 and 8,691.82

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Solution

The fourth proportional to 15,765.25, 21,756.05 and 8,691.82 is: 11,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.25 : 21,756.05 = 8,691.82 : x
  2. Step 2: Convert to fraction form
    15,765.25/21,756.05 = 8,691.82/x
  3. Step 3: Cross multiply
    15,765.25x = 21,756.05 × 8,691.82
  4. Step 4: Simplify right side
    15,765.25x = 189,099,670.51
  5. Step 5: Solve for x
    x = 189,099,670.51/15,765.25
  6. Step 6: Final answer
    x = 11,994.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.