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Finding the Fourth Proportional to 21,742.65, 30,007.67 and 12,186.23

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Solution

The fourth proportional to 21,742.65, 30,007.67 and 12,186.23 is: 16,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,742.65 : 30,007.67 = 12,186.23 : x
  2. Step 2: Convert to fraction form
    21,742.65/30,007.67 = 12,186.23/x
  3. Step 3: Cross multiply
    21,742.65x = 30,007.67 × 12,186.23
  4. Step 4: Simplify right side
    21,742.65x = 365,680,157.41
  5. Step 5: Solve for x
    x = 365,680,157.41/21,742.65
  6. Step 6: Final answer
    x = 16,818.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.