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Finding the Fourth Proportional to 20,005.26, 27,603.48 and 12,048

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Solution

The fourth proportional to 20,005.26, 27,603.48 and 12,048 is: 16,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.26 : 27,603.48 = 12,048 : x
  2. Step 2: Convert to fraction form
    20,005.26/27,603.48 = 12,048/x
  3. Step 3: Cross multiply
    20,005.26x = 27,603.48 × 12,048
  4. Step 4: Simplify right side
    20,005.26x = 332,566,727.04
  5. Step 5: Solve for x
    x = 332,566,727.04/20,005.26
  6. Step 6: Final answer
    x = 16,623.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.