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Finding the Fourth Proportional to 18,302, 27,373.86 and 10,787.74

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Solution

The fourth proportional to 18,302, 27,373.86 and 10,787.74 is: 16,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,302 : 27,373.86 = 10,787.74 : x
  2. Step 2: Convert to fraction form
    18,302/27,373.86 = 10,787.74/x
  3. Step 3: Cross multiply
    18,302x = 27,373.86 × 10,787.74
  4. Step 4: Simplify right side
    18,302x = 295,302,084.48
  5. Step 5: Solve for x
    x = 295,302,084.48/18,302
  6. Step 6: Final answer
    x = 16,134.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.