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Finding the Fourth Proportional to 19,850.32, 27,387.80 and 12,780.84

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Solution

The fourth proportional to 19,850.32, 27,387.80 and 12,780.84 is: 17,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850.32 : 27,387.80 = 12,780.84 : x
  2. Step 2: Convert to fraction form
    19,850.32/27,387.80 = 12,780.84/x
  3. Step 3: Cross multiply
    19,850.32x = 27,387.80 × 12,780.84
  4. Step 4: Simplify right side
    19,850.32x = 350,039,089.75
  5. Step 5: Solve for x
    x = 350,039,089.75/19,850.32
  6. Step 6: Final answer
    x = 17,633.93

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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.