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Finding the Fourth Proportional to 21,733, 29,993.04 and 12,301.60

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Solution

The fourth proportional to 21,733, 29,993.04 and 12,301.60 is: 16,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,733 : 29,993.04 = 12,301.60 : x
  2. Step 2: Convert to fraction form
    21,733/29,993.04 = 12,301.60/x
  3. Step 3: Cross multiply
    21,733x = 29,993.04 × 12,301.60
  4. Step 4: Simplify right side
    21,733x = 368,962,380.86
  5. Step 5: Solve for x
    x = 368,962,380.86/21,733
  6. Step 6: Final answer
    x = 16,977.06

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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.