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Finding the Fourth Proportional to 12,666.30, 18,999.45 and 8,519.10

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Solution

The fourth proportional to 12,666.30, 18,999.45 and 8,519.10 is: 12,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,666.30 : 18,999.45 = 8,519.10 : x
  2. Step 2: Convert to fraction form
    12,666.30/18,999.45 = 8,519.10/x
  3. Step 3: Cross multiply
    12,666.30x = 18,999.45 × 8,519.10
  4. Step 4: Simplify right side
    12,666.30x = 161,858,214.50
  5. Step 5: Solve for x
    x = 161,858,214.50/12,666.30
  6. Step 6: Final answer
    x = 12,778.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.