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Finding the Fourth Proportional to 20,078.60, 27,713.10 and 13,364.50

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Solution

The fourth proportional to 20,078.60, 27,713.10 and 13,364.50 is: 18,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.60 : 27,713.10 = 13,364.50 : x
  2. Step 2: Convert to fraction form
    20,078.60/27,713.10 = 13,364.50/x
  3. Step 3: Cross multiply
    20,078.60x = 27,713.10 × 13,364.50
  4. Step 4: Simplify right side
    20,078.60x = 370,371,724.95
  5. Step 5: Solve for x
    x = 370,371,724.95/20,078.60
  6. Step 6: Final answer
    x = 18,446.09

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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.