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Finding the Fourth Proportional to 16,598.24, 24,882.78 and 7,843.76

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Solution

The fourth proportional to 16,598.24, 24,882.78 and 7,843.76 is: 11,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.24 : 24,882.78 = 7,843.76 : x
  2. Step 2: Convert to fraction form
    16,598.24/24,882.78 = 7,843.76/x
  3. Step 3: Cross multiply
    16,598.24x = 24,882.78 × 7,843.76
  4. Step 4: Simplify right side
    16,598.24x = 195,174,554.45
  5. Step 5: Solve for x
    x = 195,174,554.45/16,598.24
  6. Step 6: Final answer
    x = 11,758.75

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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.