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Finding the Fourth Proportional to 17,525.64, 24,185.72 and 9,568.17

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Solution

The fourth proportional to 17,525.64, 24,185.72 and 9,568.17 is: 13,204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,525.64 : 24,185.72 = 9,568.17 : x
  2. Step 2: Convert to fraction form
    17,525.64/24,185.72 = 9,568.17/x
  3. Step 3: Cross multiply
    17,525.64x = 24,185.72 × 9,568.17
  4. Step 4: Simplify right side
    17,525.64x = 231,413,032.69
  5. Step 5: Solve for x
    x = 231,413,032.69/17,525.64
  6. Step 6: Final answer
    x = 13,204.26

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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.