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Finding the Fourth Proportional to 12,299.76, 16,980.66 and 8,120.16

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Solution

The fourth proportional to 12,299.76, 16,980.66 and 8,120.16 is: 11,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.76 : 16,980.66 = 8,120.16 : x
  2. Step 2: Convert to fraction form
    12,299.76/16,980.66 = 8,120.16/x
  3. Step 3: Cross multiply
    12,299.76x = 16,980.66 × 8,120.16
  4. Step 4: Simplify right side
    12,299.76x = 137,885,676.11
  5. Step 5: Solve for x
    x = 137,885,676.11/12,299.76
  6. Step 6: Final answer
    x = 11,210.44

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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.