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Finding the Fourth Proportional to 29,650.32, 40,911.32 and 17,709.28

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Solution

The fourth proportional to 29,650.32, 40,911.32 and 17,709.28 is: 24,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,650.32 : 40,911.32 = 17,709.28 : x
  2. Step 2: Convert to fraction form
    29,650.32/40,911.32 = 17,709.28/x
  3. Step 3: Cross multiply
    29,650.32x = 40,911.32 × 17,709.28
  4. Step 4: Simplify right side
    29,650.32x = 724,510,021.05
  5. Step 5: Solve for x
    x = 724,510,021.05/29,650.32
  6. Step 6: Final answer
    x = 24,435.15

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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.