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Finding the Fourth Proportional to 17,280.25, 23,846.47 and 9,623.47

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Solution

The fourth proportional to 17,280.25, 23,846.47 and 9,623.47 is: 13,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280.25 : 23,846.47 = 9,623.47 : x
  2. Step 2: Convert to fraction form
    17,280.25/23,846.47 = 9,623.47/x
  3. Step 3: Cross multiply
    17,280.25x = 23,846.47 × 9,623.47
  4. Step 4: Simplify right side
    17,280.25x = 229,485,788.65
  5. Step 5: Solve for x
    x = 229,485,788.65/17,280.25
  6. Step 6: Final answer
    x = 13,280.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.