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Finding the Fourth Proportional to 19,845, 27,387.45 and 11,461.50

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Solution

The fourth proportional to 19,845, 27,387.45 and 11,461.50 is: 15,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,845 : 27,387.45 = 11,461.50 : x
  2. Step 2: Convert to fraction form
    19,845/27,387.45 = 11,461.50/x
  3. Step 3: Cross multiply
    19,845x = 27,387.45 × 11,461.50
  4. Step 4: Simplify right side
    19,845x = 313,901,258.18
  5. Step 5: Solve for x
    x = 313,901,258.18/19,845
  6. Step 6: Final answer
    x = 15,817.65

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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.