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Finding the Fourth Proportional to 29,627, 40,884.72 and 17,693

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Solution

The fourth proportional to 29,627, 40,884.72 and 17,693 is: 24,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,627 : 40,884.72 = 17,693 : x
  2. Step 2: Convert to fraction form
    29,627/40,884.72 = 17,693/x
  3. Step 3: Cross multiply
    29,627x = 40,884.72 × 17,693
  4. Step 4: Simplify right side
    29,627x = 723,373,350.96
  5. Step 5: Solve for x
    x = 723,373,350.96/29,627
  6. Step 6: Final answer
    x = 24,416.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.