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Finding the Fourth Proportional to 21,420, 29,560.68 and 13,037.04

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Solution

The fourth proportional to 21,420, 29,560.68 and 13,037.04 is: 17,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420 : 29,560.68 = 13,037.04 : x
  2. Step 2: Convert to fraction form
    21,420/29,560.68 = 13,037.04/x
  3. Step 3: Cross multiply
    21,420x = 29,560.68 × 13,037.04
  4. Step 4: Simplify right side
    21,420x = 385,383,767.59
  5. Step 5: Solve for x
    x = 385,383,767.59/21,420
  6. Step 6: Final answer
    x = 17,991.77

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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.