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Finding the Fourth Proportional to 29,309.86, 40,451.16 and 16,563.58

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Solution

The fourth proportional to 29,309.86, 40,451.16 and 16,563.58 is: 22,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,309.86 : 40,451.16 = 16,563.58 : x
  2. Step 2: Convert to fraction form
    29,309.86/40,451.16 = 16,563.58/x
  3. Step 3: Cross multiply
    29,309.86x = 40,451.16 × 16,563.58
  4. Step 4: Simplify right side
    29,309.86x = 670,016,024.75
  5. Step 5: Solve for x
    x = 670,016,024.75/29,309.86
  6. Step 6: Final answer
    x = 22,859.75

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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.