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Finding the Fourth Proportional to 16,007.40, 24,011.10 and 8,231.40

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Solution

The fourth proportional to 16,007.40, 24,011.10 and 8,231.40 is: 12,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.40 : 24,011.10 = 8,231.40 : x
  2. Step 2: Convert to fraction form
    16,007.40/24,011.10 = 8,231.40/x
  3. Step 3: Cross multiply
    16,007.40x = 24,011.10 × 8,231.40
  4. Step 4: Simplify right side
    16,007.40x = 197,644,968.54
  5. Step 5: Solve for x
    x = 197,644,968.54/16,007.40
  6. Step 6: Final answer
    x = 12,347.10

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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.