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Finding the Fourth Proportional to 15,929.89, 23,899.69 and 8,144.17

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Solution

The fourth proportional to 15,929.89, 23,899.69 and 8,144.17 is: 12,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929.89 : 23,899.69 = 8,144.17 : x
  2. Step 2: Convert to fraction form
    15,929.89/23,899.69 = 8,144.17/x
  3. Step 3: Cross multiply
    15,929.89x = 23,899.69 × 8,144.17
  4. Step 4: Simplify right side
    15,929.89x = 194,642,998.45
  5. Step 5: Solve for x
    x = 194,642,998.45/15,929.89
  6. Step 6: Final answer
    x = 12,218.73

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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.