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Finding the Fourth Proportional to 29,147.60, 40,222.52 and 17,214.78

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Solution

The fourth proportional to 29,147.60, 40,222.52 and 17,214.78 is: 23,755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,147.60 : 40,222.52 = 17,214.78 : x
  2. Step 2: Convert to fraction form
    29,147.60/40,222.52 = 17,214.78/x
  3. Step 3: Cross multiply
    29,147.60x = 40,222.52 × 17,214.78
  4. Step 4: Simplify right side
    29,147.60x = 692,421,832.85
  5. Step 5: Solve for x
    x = 692,421,832.85/29,147.60
  6. Step 6: Final answer
    x = 23,755.71

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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.