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Finding the Fourth Proportional to 20,752.86, 31,047.86 and 16,037.04

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Solution

The fourth proportional to 20,752.86, 31,047.86 and 16,037.04 is: 23,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752.86 : 31,047.86 = 16,037.04 : x
  2. Step 2: Convert to fraction form
    20,752.86/31,047.86 = 16,037.04/x
  3. Step 3: Cross multiply
    20,752.86x = 31,047.86 × 16,037.04
  4. Step 4: Simplify right side
    20,752.86x = 497,915,772.73
  5. Step 5: Solve for x
    x = 497,915,772.73/20,752.86
  6. Step 6: Final answer
    x = 23,992.63

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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.