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Finding the Fourth Proportional to 18,781, 25,917.40 and 10,822.76

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Solution

The fourth proportional to 18,781, 25,917.40 and 10,822.76 is: 14,935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,781 : 25,917.40 = 10,822.76 : x
  2. Step 2: Convert to fraction form
    18,781/25,917.40 = 10,822.76/x
  3. Step 3: Cross multiply
    18,781x = 25,917.40 × 10,822.76
  4. Step 4: Simplify right side
    18,781x = 280,497,800.02
  5. Step 5: Solve for x
    x = 280,497,800.02/18,781
  6. Step 6: Final answer
    x = 14,935.19

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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.