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Finding the Fourth Proportional to 29,697.86, 40,982.10 and 16,268.78

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Solution

The fourth proportional to 29,697.86, 40,982.10 and 16,268.78 is: 22,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.86 : 40,982.10 = 16,268.78 : x
  2. Step 2: Convert to fraction form
    29,697.86/40,982.10 = 16,268.78/x
  3. Step 3: Cross multiply
    29,697.86x = 40,982.10 × 16,268.78
  4. Step 4: Simplify right side
    29,697.86x = 666,728,768.84
  5. Step 5: Solve for x
    x = 666,728,768.84/29,697.86
  6. Step 6: Final answer
    x = 22,450.40

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1.5x scale

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.