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Finding the Fourth Proportional to 21,302.96, 29,398.05 and 11,871.54

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Solution

The fourth proportional to 21,302.96, 29,398.05 and 11,871.54 is: 16,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302.96 : 29,398.05 = 11,871.54 : x
  2. Step 2: Convert to fraction form
    21,302.96/29,398.05 = 11,871.54/x
  3. Step 3: Cross multiply
    21,302.96x = 29,398.05 × 11,871.54
  4. Step 4: Simplify right side
    21,302.96x = 349,000,126.50
  5. Step 5: Solve for x
    x = 349,000,126.50/21,302.96
  6. Step 6: Final answer
    x = 16,382.71

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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.