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Finding the Fourth Proportional to 17,585.64, 24,268.19 and 9,628.36

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Solution

The fourth proportional to 17,585.64, 24,268.19 and 9,628.36 is: 13,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.64 : 24,268.19 = 9,628.36 : x
  2. Step 2: Convert to fraction form
    17,585.64/24,268.19 = 9,628.36/x
  3. Step 3: Cross multiply
    17,585.64x = 24,268.19 × 9,628.36
  4. Step 4: Simplify right side
    17,585.64x = 233,662,761.06
  5. Step 5: Solve for x
    x = 233,662,761.06/17,585.64
  6. Step 6: Final answer
    x = 13,287.13

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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.