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Finding the Fourth Proportional to 21,501, 29,674.62 and 13,122.36

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Solution

The fourth proportional to 21,501, 29,674.62 and 13,122.36 is: 18,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,501 : 29,674.62 = 13,122.36 : x
  2. Step 2: Convert to fraction form
    21,501/29,674.62 = 13,122.36/x
  3. Step 3: Cross multiply
    21,501x = 29,674.62 × 13,122.36
  4. Step 4: Simplify right side
    21,501x = 389,401,046.50
  5. Step 5: Solve for x
    x = 389,401,046.50/21,501
  6. Step 6: Final answer
    x = 18,110.83

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