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Finding the Fourth Proportional to 20,047.38, 27,665.45 and 12,089.94

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Solution

The fourth proportional to 20,047.38, 27,665.45 and 12,089.94 is: 16,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.38 : 27,665.45 = 12,089.94 : x
  2. Step 2: Convert to fraction form
    20,047.38/27,665.45 = 12,089.94/x
  3. Step 3: Cross multiply
    20,047.38x = 27,665.45 × 12,089.94
  4. Step 4: Simplify right side
    20,047.38x = 334,473,630.57
  5. Step 5: Solve for x
    x = 334,473,630.57/20,047.38
  6. Step 6: Final answer
    x = 16,684.16

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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.