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Finding the Fourth Proportional to 16,022.23, 24,034 and 5,499.48

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Solution

The fourth proportional to 16,022.23, 24,034 and 5,499.48 is: 8,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.23 : 24,034 = 5,499.48 : x
  2. Step 2: Convert to fraction form
    16,022.23/24,034 = 5,499.48/x
  3. Step 3: Cross multiply
    16,022.23x = 24,034 × 5,499.48
  4. Step 4: Simplify right side
    16,022.23x = 132,174,502.32
  5. Step 5: Solve for x
    x = 132,174,502.32/16,022.23
  6. Step 6: Final answer
    x = 8,249.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.