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Finding the Fourth Proportional to 12,538.35, 18,814.81 and 9,889.65

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Solution

The fourth proportional to 12,538.35, 18,814.81 and 9,889.65 is: 14,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.35 : 18,814.81 = 9,889.65 : x
  2. Step 2: Convert to fraction form
    12,538.35/18,814.81 = 9,889.65/x
  3. Step 3: Cross multiply
    12,538.35x = 18,814.81 × 9,889.65
  4. Step 4: Simplify right side
    12,538.35x = 186,071,766.92
  5. Step 5: Solve for x
    x = 186,071,766.92/12,538.35
  6. Step 6: Final answer
    x = 14,840.22

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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.