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Finding the Fourth Proportional to 21,292.75, 29,384.13 and 11,861.38

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Solution

The fourth proportional to 21,292.75, 29,384.13 and 11,861.38 is: 16,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,292.75 : 29,384.13 = 11,861.38 : x
  2. Step 2: Convert to fraction form
    21,292.75/29,384.13 = 11,861.38/x
  3. Step 3: Cross multiply
    21,292.75x = 29,384.13 × 11,861.38
  4. Step 4: Simplify right side
    21,292.75x = 348,536,331.90
  5. Step 5: Solve for x
    x = 348,536,331.90/21,292.75
  6. Step 6: Final answer
    x = 16,368.78

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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.