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Finding the Fourth Proportional to 16,230.42, 24,345.38 and 8,833.16

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Solution

The fourth proportional to 16,230.42, 24,345.38 and 8,833.16 is: 13,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230.42 : 24,345.38 = 8,833.16 : x
  2. Step 2: Convert to fraction form
    16,230.42/24,345.38 = 8,833.16/x
  3. Step 3: Cross multiply
    16,230.42x = 24,345.38 × 8,833.16
  4. Step 4: Simplify right side
    16,230.42x = 215,046,636.80
  5. Step 5: Solve for x
    x = 215,046,636.80/16,230.42
  6. Step 6: Final answer
    x = 13,249.60

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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.