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Finding the Fourth Proportional to 14,007.97, 21,011.97 and 8,093.86

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Solution

The fourth proportional to 14,007.97, 21,011.97 and 8,093.86 is: 12,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.97 : 21,011.97 = 8,093.86 : x
  2. Step 2: Convert to fraction form
    14,007.97/21,011.97 = 8,093.86/x
  3. Step 3: Cross multiply
    14,007.97x = 21,011.97 × 8,093.86
  4. Step 4: Simplify right side
    14,007.97x = 170,067,943.50
  5. Step 5: Solve for x
    x = 170,067,943.50/14,007.97
  6. Step 6: Final answer
    x = 12,140.80

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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.