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Finding the Fourth Proportional to 12,246.74, 18,357.10 and 7,790.38

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Solution

The fourth proportional to 12,246.74, 18,357.10 and 7,790.38 is: 11,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246.74 : 18,357.10 = 7,790.38 : x
  2. Step 2: Convert to fraction form
    12,246.74/18,357.10 = 7,790.38/x
  3. Step 3: Cross multiply
    12,246.74x = 18,357.10 × 7,790.38
  4. Step 4: Simplify right side
    12,246.74x = 143,008,869.01
  5. Step 5: Solve for x
    x = 143,008,869.01/12,246.74
  6. Step 6: Final answer
    x = 11,677.30

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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.