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Finding the Fourth Proportional to 21,193.36, 29,237.70 and 12,805

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Solution

The fourth proportional to 21,193.36, 29,237.70 and 12,805 is: 17,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.36 : 29,237.70 = 12,805 : x
  2. Step 2: Convert to fraction form
    21,193.36/29,237.70 = 12,805/x
  3. Step 3: Cross multiply
    21,193.36x = 29,237.70 × 12,805
  4. Step 4: Simplify right side
    21,193.36x = 374,388,748.50
  5. Step 5: Solve for x
    x = 374,388,748.50/21,193.36
  6. Step 6: Final answer
    x = 17,665.38

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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.