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Finding the Fourth Proportional to 17,787.90, 26,698.01 and 9,474.98

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Solution

The fourth proportional to 17,787.90, 26,698.01 and 9,474.98 is: 14,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.90 : 26,698.01 = 9,474.98 : x
  2. Step 2: Convert to fraction form
    17,787.90/26,698.01 = 9,474.98/x
  3. Step 3: Cross multiply
    17,787.90x = 26,698.01 × 9,474.98
  4. Step 4: Simplify right side
    17,787.90x = 252,962,929.92
  5. Step 5: Solve for x
    x = 252,962,929.92/17,787.90
  6. Step 6: Final answer
    x = 14,221.06

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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.