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Finding the Fourth Proportional to 17,362.80, 23,960.52 and 9,405

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Solution

The fourth proportional to 17,362.80, 23,960.52 and 9,405 is: 12,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,362.80 : 23,960.52 = 9,405 : x
  2. Step 2: Convert to fraction form
    17,362.80/23,960.52 = 9,405/x
  3. Step 3: Cross multiply
    17,362.80x = 23,960.52 × 9,405
  4. Step 4: Simplify right side
    17,362.80x = 225,348,690.60
  5. Step 5: Solve for x
    x = 225,348,690.60/17,362.80
  6. Step 6: Final answer
    x = 12,978.82

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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.