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Finding the Fourth Proportional to 17,585.73, 24,268.34 and 9,628.46

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Solution

The fourth proportional to 17,585.73, 24,268.34 and 9,628.46 is: 13,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.73 : 24,268.34 = 9,628.46 : x
  2. Step 2: Convert to fraction form
    17,585.73/24,268.34 = 9,628.46/x
  3. Step 3: Cross multiply
    17,585.73x = 24,268.34 × 9,628.46
  4. Step 4: Simplify right side
    17,585.73x = 233,666,571.47
  5. Step 5: Solve for x
    x = 233,666,571.47/17,585.73
  6. Step 6: Final answer
    x = 13,287.28

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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.