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Finding the Fourth Proportional to 17,382.64, 23,986.56 and 9,828.60

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Solution

The fourth proportional to 17,382.64, 23,986.56 and 9,828.60 is: 13,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.64 : 23,986.56 = 9,828.60 : x
  2. Step 2: Convert to fraction form
    17,382.64/23,986.56 = 9,828.60/x
  3. Step 3: Cross multiply
    17,382.64x = 23,986.56 × 9,828.60
  4. Step 4: Simplify right side
    17,382.64x = 235,754,303.62
  5. Step 5: Solve for x
    x = 235,754,303.62/17,382.64
  6. Step 6: Final answer
    x = 13,562.63

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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.