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Finding the Fourth Proportional to 19,739.25, 29,623.46 and 9,351

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Solution

The fourth proportional to 19,739.25, 29,623.46 and 9,351 is: 14,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,739.25 : 29,623.46 = 9,351 : x
  2. Step 2: Convert to fraction form
    19,739.25/29,623.46 = 9,351/x
  3. Step 3: Cross multiply
    19,739.25x = 29,623.46 × 9,351
  4. Step 4: Simplify right side
    19,739.25x = 277,008,927.71
  5. Step 5: Solve for x
    x = 277,008,927.71/19,739.25
  6. Step 6: Final answer
    x = 14,033.41

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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.