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Finding the Fourth Proportional to 24,855.24, 37,289.34 and 9,273

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Solution

The fourth proportional to 24,855.24, 37,289.34 and 9,273 is: 13,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,855.24 : 37,289.34 = 9,273 : x
  2. Step 2: Convert to fraction form
    24,855.24/37,289.34 = 9,273/x
  3. Step 3: Cross multiply
    24,855.24x = 37,289.34 × 9,273
  4. Step 4: Simplify right side
    24,855.24x = 345,784,049.82
  5. Step 5: Solve for x
    x = 345,784,049.82/24,855.24
  6. Step 6: Final answer
    x = 13,911.92

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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.