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Finding the Fourth Proportional to 12,288.84, 16,953.21 and 8,308.50

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Solution

The fourth proportional to 12,288.84, 16,953.21 and 8,308.50 is: 11,462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.84 : 16,953.21 = 8,308.50 : x
  2. Step 2: Convert to fraction form
    12,288.84/16,953.21 = 8,308.50/x
  3. Step 3: Cross multiply
    12,288.84x = 16,953.21 × 8,308.50
  4. Step 4: Simplify right side
    12,288.84x = 140,855,745.29
  5. Step 5: Solve for x
    x = 140,855,745.29/12,288.84
  6. Step 6: Final answer
    x = 11,462.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.