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Finding the Fourth Proportional to 24,144, 33,318.84 and 14,079.42

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Solution

The fourth proportional to 24,144, 33,318.84 and 14,079.42 is: 19,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144 : 33,318.84 = 14,079.42 : x
  2. Step 2: Convert to fraction form
    24,144/33,318.84 = 14,079.42/x
  3. Step 3: Cross multiply
    24,144x = 33,318.84 × 14,079.42
  4. Step 4: Simplify right side
    24,144x = 469,109,942.27
  5. Step 5: Solve for x
    x = 469,109,942.27/24,144
  6. Step 6: Final answer
    x = 19,429.67

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Why These Related Problems?

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