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Finding the Fourth Proportional to 18,462.40, 27,683.82 and 8,062

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Solution

The fourth proportional to 18,462.40, 27,683.82 and 8,062 is: 12,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,462.40 : 27,683.82 = 8,062 : x
  2. Step 2: Convert to fraction form
    18,462.40/27,683.82 = 8,062/x
  3. Step 3: Cross multiply
    18,462.40x = 27,683.82 × 8,062
  4. Step 4: Simplify right side
    18,462.40x = 223,186,956.84
  5. Step 5: Solve for x
    x = 223,186,956.84/18,462.40
  6. Step 6: Final answer
    x = 12,088.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.