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Finding the Fourth Proportional to 13,093.31, 18,064.17 and 7,787.40

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Solution

The fourth proportional to 13,093.31, 18,064.17 and 7,787.40 is: 10,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.31 : 18,064.17 = 7,787.40 : x
  2. Step 2: Convert to fraction form
    13,093.31/18,064.17 = 7,787.40/x
  3. Step 3: Cross multiply
    13,093.31x = 18,064.17 × 7,787.40
  4. Step 4: Simplify right side
    13,093.31x = 140,672,917.46
  5. Step 5: Solve for x
    x = 140,672,917.46/13,093.31
  6. Step 6: Final answer
    x = 10,743.88

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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.