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Finding the Fourth Proportional to 19,797.46, 29,693.09 and 6,470.35

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Solution

The fourth proportional to 19,797.46, 29,693.09 and 6,470.35 is: 9,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.46 : 29,693.09 = 6,470.35 : x
  2. Step 2: Convert to fraction form
    19,797.46/29,693.09 = 6,470.35/x
  3. Step 3: Cross multiply
    19,797.46x = 29,693.09 × 6,470.35
  4. Step 4: Simplify right side
    19,797.46x = 192,124,626.82
  5. Step 5: Solve for x
    x = 192,124,626.82/19,797.46
  6. Step 6: Final answer
    x = 9,704.51

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