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Finding the Fourth Proportional to 16,007.92, 24,009.10 and 7,240.80

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Solution

The fourth proportional to 16,007.92, 24,009.10 and 7,240.80 is: 10,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.92 : 24,009.10 = 7,240.80 : x
  2. Step 2: Convert to fraction form
    16,007.92/24,009.10 = 7,240.80/x
  3. Step 3: Cross multiply
    16,007.92x = 24,009.10 × 7,240.80
  4. Step 4: Simplify right side
    16,007.92x = 173,845,091.28
  5. Step 5: Solve for x
    x = 173,845,091.28/16,007.92
  6. Step 6: Final answer
    x = 10,859.94

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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.