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Finding the Fourth Proportional to 15,825.84, 23,738.73 and 5,967.33

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Solution

The fourth proportional to 15,825.84, 23,738.73 and 5,967.33 is: 8,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.84 : 23,738.73 = 5,967.33 : x
  2. Step 2: Convert to fraction form
    15,825.84/23,738.73 = 5,967.33/x
  3. Step 3: Cross multiply
    15,825.84x = 23,738.73 × 5,967.33
  4. Step 4: Simplify right side
    15,825.84x = 141,656,835.69
  5. Step 5: Solve for x
    x = 141,656,835.69/15,825.84
  6. Step 6: Final answer
    x = 8,950.98

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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.