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Finding the Fourth Proportional to 20,393.80, 30,513.40 and 12,078.28

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Solution

The fourth proportional to 20,393.80, 30,513.40 and 12,078.28 is: 18,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393.80 : 30,513.40 = 12,078.28 : x
  2. Step 2: Convert to fraction form
    20,393.80/30,513.40 = 12,078.28/x
  3. Step 3: Cross multiply
    20,393.80x = 30,513.40 × 12,078.28
  4. Step 4: Simplify right side
    20,393.80x = 368,549,388.95
  5. Step 5: Solve for x
    x = 368,549,388.95/20,393.80
  6. Step 6: Final answer
    x = 18,071.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.