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Finding the Fourth Proportional to 12,334.18, 18,499.10 and 4,013

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Solution

The fourth proportional to 12,334.18, 18,499.10 and 4,013 is: 6,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.18 : 18,499.10 = 4,013 : x
  2. Step 2: Convert to fraction form
    12,334.18/18,499.10 = 4,013/x
  3. Step 3: Cross multiply
    12,334.18x = 18,499.10 × 4,013
  4. Step 4: Simplify right side
    12,334.18x = 74,236,888.30
  5. Step 5: Solve for x
    x = 74,236,888.30/12,334.18
  6. Step 6: Final answer
    x = 6,018.79

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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.