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Finding the Fourth Proportional to 12,314.85, 18,461.31 and 4,521.84

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Solution

The fourth proportional to 12,314.85, 18,461.31 and 4,521.84 is: 6,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.85 : 18,461.31 = 4,521.84 : x
  2. Step 2: Convert to fraction form
    12,314.85/18,461.31 = 4,521.84/x
  3. Step 3: Cross multiply
    12,314.85x = 18,461.31 × 4,521.84
  4. Step 4: Simplify right side
    12,314.85x = 83,479,090.01
  5. Step 5: Solve for x
    x = 83,479,090.01/12,314.85
  6. Step 6: Final answer
    x = 6,778.73

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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.