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Finding the Fourth Proportional to 12,311.54, 18,466.70 and 4,519.76

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Solution

The fourth proportional to 12,311.54, 18,466.70 and 4,519.76 is: 6,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.54 : 18,466.70 = 4,519.76 : x
  2. Step 2: Convert to fraction form
    12,311.54/18,466.70 = 4,519.76/x
  3. Step 3: Cross multiply
    12,311.54x = 18,466.70 × 4,519.76
  4. Step 4: Simplify right side
    12,311.54x = 83,465,051.99
  5. Step 5: Solve for x
    x = 83,465,051.99/12,311.54
  6. Step 6: Final answer
    x = 6,779.42

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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.