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Finding the Fourth Proportional to 40,997.64, 61,489.32 and 11,407.56

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Solution

The fourth proportional to 40,997.64, 61,489.32 and 11,407.56 is: 17,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,997.64 : 61,489.32 = 11,407.56 : x
  2. Step 2: Convert to fraction form
    40,997.64/61,489.32 = 11,407.56/x
  3. Step 3: Cross multiply
    40,997.64x = 61,489.32 × 11,407.56
  4. Step 4: Simplify right side
    40,997.64x = 701,443,107.26
  5. Step 5: Solve for x
    x = 701,443,107.26/40,997.64
  6. Step 6: Final answer
    x = 17,109.35

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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.