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Finding the Fourth Proportional to 20,178, 27,848.07 and 11,794.50

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Solution

The fourth proportional to 20,178, 27,848.07 and 11,794.50 is: 16,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 27,848.07 = 11,794.50 : x
  2. Step 2: Convert to fraction form
    20,178/27,848.07 = 11,794.50/x
  3. Step 3: Cross multiply
    20,178x = 27,848.07 × 11,794.50
  4. Step 4: Simplify right side
    20,178x = 328,454,061.62
  5. Step 5: Solve for x
    x = 328,454,061.62/20,178
  6. Step 6: Final answer
    x = 16,277.83

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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.