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Finding the Fourth Proportional to 17,787.92, 26,674.06 and 9,465.96

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Solution

The fourth proportional to 17,787.92, 26,674.06 and 9,465.96 is: 14,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.92 : 26,674.06 = 9,465.96 : x
  2. Step 2: Convert to fraction form
    17,787.92/26,674.06 = 9,465.96/x
  3. Step 3: Cross multiply
    17,787.92x = 26,674.06 × 9,465.96
  4. Step 4: Simplify right side
    17,787.92x = 252,495,585.00
  5. Step 5: Solve for x
    x = 252,495,585.00/17,787.92
  6. Step 6: Final answer
    x = 14,194.78

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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.