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Finding the Fourth Proportional to 23,770.20, 32,729.68 and 21,113

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Solution

The fourth proportional to 23,770.20, 32,729.68 and 21,113 is: 29,070.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.20 : 32,729.68 = 21,113 : x
  2. Step 2: Convert to fraction form
    23,770.20/32,729.68 = 21,113/x
  3. Step 3: Cross multiply
    23,770.20x = 32,729.68 × 21,113
  4. Step 4: Simplify right side
    23,770.20x = 691,021,733.84
  5. Step 5: Solve for x
    x = 691,021,733.84/23,770.20
  6. Step 6: Final answer
    x = 29,070.93

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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.