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Finding the Fourth Proportional to 29,697.40, 40,983.40 and 16,269.24

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Solution

The fourth proportional to 29,697.40, 40,983.40 and 16,269.24 is: 22,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.40 : 40,983.40 = 16,269.24 : x
  2. Step 2: Convert to fraction form
    29,697.40/40,983.40 = 16,269.24/x
  3. Step 3: Cross multiply
    29,697.40x = 40,983.40 × 16,269.24
  4. Step 4: Simplify right side
    29,697.40x = 666,768,770.62
  5. Step 5: Solve for x
    x = 666,768,770.62/29,697.40
  6. Step 6: Final answer
    x = 22,452.09

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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.