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Finding the Fourth Proportional to 20,048.16, 27,667.44 and 12,092.94

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Solution

The fourth proportional to 20,048.16, 27,667.44 and 12,092.94 is: 16,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.16 : 27,667.44 = 12,092.94 : x
  2. Step 2: Convert to fraction form
    20,048.16/27,667.44 = 12,092.94/x
  3. Step 3: Cross multiply
    20,048.16x = 27,667.44 × 12,092.94
  4. Step 4: Simplify right side
    20,048.16x = 334,580,691.87
  5. Step 5: Solve for x
    x = 334,580,691.87/20,048.16
  6. Step 6: Final answer
    x = 16,688.85

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