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Finding the Fourth Proportional to 12,381.65, 18,537.07 and 11,596.05

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Solution

The fourth proportional to 12,381.65, 18,537.07 and 11,596.05 is: 17,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.65 : 18,537.07 = 11,596.05 : x
  2. Step 2: Convert to fraction form
    12,381.65/18,537.07 = 11,596.05/x
  3. Step 3: Cross multiply
    12,381.65x = 18,537.07 × 11,596.05
  4. Step 4: Simplify right side
    12,381.65x = 214,956,790.57
  5. Step 5: Solve for x
    x = 214,956,790.57/12,381.65
  6. Step 6: Final answer
    x = 17,360.92

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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.