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Finding the Fourth Proportional to 24,311, 33,549.21 and 13,133

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Solution

The fourth proportional to 24,311, 33,549.21 and 13,133 is: 18,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311 : 33,549.21 = 13,133 : x
  2. Step 2: Convert to fraction form
    24,311/33,549.21 = 13,133/x
  3. Step 3: Cross multiply
    24,311x = 33,549.21 × 13,133
  4. Step 4: Simplify right side
    24,311x = 440,601,774.93
  5. Step 5: Solve for x
    x = 440,601,774.93/24,311
  6. Step 6: Final answer
    x = 18,123.56

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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.