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Finding the Fourth Proportional to 15,665.88, 23,498.82 and 7,872.84

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Solution

The fourth proportional to 15,665.88, 23,498.82 and 7,872.84 is: 11,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.88 : 23,498.82 = 7,872.84 : x
  2. Step 2: Convert to fraction form
    15,665.88/23,498.82 = 7,872.84/x
  3. Step 3: Cross multiply
    15,665.88x = 23,498.82 × 7,872.84
  4. Step 4: Simplify right side
    15,665.88x = 185,002,450.05
  5. Step 5: Solve for x
    x = 185,002,450.05/15,665.88
  6. Step 6: Final answer
    x = 11,809.26

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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.