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Finding the Fourth Proportional to 12,093.38, 18,139.98 and 6,581.76

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Solution

The fourth proportional to 12,093.38, 18,139.98 and 6,581.76 is: 9,872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.38 : 18,139.98 = 6,581.76 : x
  2. Step 2: Convert to fraction form
    12,093.38/18,139.98 = 6,581.76/x
  3. Step 3: Cross multiply
    12,093.38x = 18,139.98 × 6,581.76
  4. Step 4: Simplify right side
    12,093.38x = 119,392,994.76
  5. Step 5: Solve for x
    x = 119,392,994.76/12,093.38
  6. Step 6: Final answer
    x = 9,872.59

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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.