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Finding the Fourth Proportional to 20,046.38, 27,664.07 and 12,088.94

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Solution

The fourth proportional to 20,046.38, 27,664.07 and 12,088.94 is: 16,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.38 : 27,664.07 = 12,088.94 : x
  2. Step 2: Convert to fraction form
    20,046.38/27,664.07 = 12,088.94/x
  3. Step 3: Cross multiply
    20,046.38x = 27,664.07 × 12,088.94
  4. Step 4: Simplify right side
    20,046.38x = 334,429,083.62
  5. Step 5: Solve for x
    x = 334,429,083.62/20,046.38
  6. Step 6: Final answer
    x = 16,682.77

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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.