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Finding the Fourth Proportional to 21,381.50, 29,506.66 and 11,821.24

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Solution

The fourth proportional to 21,381.50, 29,506.66 and 11,821.24 is: 16,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.50 : 29,506.66 = 11,821.24 : x
  2. Step 2: Convert to fraction form
    21,381.50/29,506.66 = 11,821.24/x
  3. Step 3: Cross multiply
    21,381.50x = 29,506.66 × 11,821.24
  4. Step 4: Simplify right side
    21,381.50x = 348,805,309.46
  5. Step 5: Solve for x
    x = 348,805,309.46/21,381.50
  6. Step 6: Final answer
    x = 16,313.42

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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.