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Finding the Fourth Proportional to 12,337.68, 18,499.68 and 6,083.94

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Solution

The fourth proportional to 12,337.68, 18,499.68 and 6,083.94 is: 9,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.68 : 18,499.68 = 6,083.94 : x
  2. Step 2: Convert to fraction form
    12,337.68/18,499.68 = 6,083.94/x
  3. Step 3: Cross multiply
    12,337.68x = 18,499.68 × 6,083.94
  4. Step 4: Simplify right side
    12,337.68x = 112,550,943.14
  5. Step 5: Solve for x
    x = 112,550,943.14/12,337.68
  6. Step 6: Final answer
    x = 9,122.54

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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.