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Finding the Fourth Proportional to 15,765.23, 21,755.94 and 8,691.65

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Solution

The fourth proportional to 15,765.23, 21,755.94 and 8,691.65 is: 11,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.23 : 21,755.94 = 8,691.65 : x
  2. Step 2: Convert to fraction form
    15,765.23/21,755.94 = 8,691.65/x
  3. Step 3: Cross multiply
    15,765.23x = 21,755.94 × 8,691.65
  4. Step 4: Simplify right side
    15,765.23x = 189,095,127.38
  5. Step 5: Solve for x
    x = 189,095,127.38/15,765.23
  6. Step 6: Final answer
    x = 11,994.44

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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.