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Finding the Fourth Proportional to 20,038.01, 27,652.86 and 12,078.54

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Solution

The fourth proportional to 20,038.01, 27,652.86 and 12,078.54 is: 16,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.01 : 27,652.86 = 12,078.54 : x
  2. Step 2: Convert to fraction form
    20,038.01/27,652.86 = 12,078.54/x
  3. Step 3: Cross multiply
    20,038.01x = 27,652.86 × 12,078.54
  4. Step 4: Simplify right side
    20,038.01x = 334,006,175.62
  5. Step 5: Solve for x
    x = 334,006,175.62/20,038.01
  6. Step 6: Final answer
    x = 16,668.63

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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.