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Finding the Fourth Proportional to 17,288.80, 23,854.32 and 9,733.60

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Solution

The fourth proportional to 17,288.80, 23,854.32 and 9,733.60 is: 13,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,288.80 : 23,854.32 = 9,733.60 : x
  2. Step 2: Convert to fraction form
    17,288.80/23,854.32 = 9,733.60/x
  3. Step 3: Cross multiply
    17,288.80x = 23,854.32 × 9,733.60
  4. Step 4: Simplify right side
    17,288.80x = 232,188,409.15
  5. Step 5: Solve for x
    x = 232,188,409.15/17,288.80
  6. Step 6: Final answer
    x = 13,429.99

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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.