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Finding the Fourth Proportional to 29,173.68, 43,770.24 and 11,638.80

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Solution

The fourth proportional to 29,173.68, 43,770.24 and 11,638.80 is: 17,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,173.68 : 43,770.24 = 11,638.80 : x
  2. Step 2: Convert to fraction form
    29,173.68/43,770.24 = 11,638.80/x
  3. Step 3: Cross multiply
    29,173.68x = 43,770.24 × 11,638.80
  4. Step 4: Simplify right side
    29,173.68x = 509,433,069.31
  5. Step 5: Solve for x
    x = 509,433,069.31/29,173.68
  6. Step 6: Final answer
    x = 17,462.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.