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Finding the Fourth Proportional to 20,270.84, 27,951.68 and 13,184.12

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Solution

The fourth proportional to 20,270.84, 27,951.68 and 13,184.12 is: 18,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270.84 : 27,951.68 = 13,184.12 : x
  2. Step 2: Convert to fraction form
    20,270.84/27,951.68 = 13,184.12/x
  3. Step 3: Cross multiply
    20,270.84x = 27,951.68 × 13,184.12
  4. Step 4: Simplify right side
    20,270.84x = 368,518,303.32
  5. Step 5: Solve for x
    x = 368,518,303.32/20,270.84
  6. Step 6: Final answer
    x = 18,179.73

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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.