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Finding the Fourth Proportional to 12,281.33, 16,962 and 8,295.50

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Solution

The fourth proportional to 12,281.33, 16,962 and 8,295.50 is: 11,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.33 : 16,962 = 8,295.50 : x
  2. Step 2: Convert to fraction form
    12,281.33/16,962 = 8,295.50/x
  3. Step 3: Cross multiply
    12,281.33x = 16,962 × 8,295.50
  4. Step 4: Simplify right side
    12,281.33x = 140,708,271
  5. Step 5: Solve for x
    x = 140,708,271/12,281.33
  6. Step 6: Final answer
    x = 11,457.09

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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.