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Finding the Fourth Proportional to 20,032.13, 27,644.04 and 12,078.74

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Solution

The fourth proportional to 20,032.13, 27,644.04 and 12,078.74 is: 16,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.13 : 27,644.04 = 12,078.74 : x
  2. Step 2: Convert to fraction form
    20,032.13/27,644.04 = 12,078.74/x
  3. Step 3: Cross multiply
    20,032.13x = 27,644.04 × 12,078.74
  4. Step 4: Simplify right side
    20,032.13x = 333,905,240.82
  5. Step 5: Solve for x
    x = 333,905,240.82/20,032.13
  6. Step 6: Final answer
    x = 16,668.48

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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.