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Finding the Fourth Proportional to 17,525.64, 24,185.20 and 9,567.84

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Solution

The fourth proportional to 17,525.64, 24,185.20 and 9,567.84 is: 13,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,525.64 : 24,185.20 = 9,567.84 : x
  2. Step 2: Convert to fraction form
    17,525.64/24,185.20 = 9,567.84/x
  3. Step 3: Cross multiply
    17,525.64x = 24,185.20 × 9,567.84
  4. Step 4: Simplify right side
    17,525.64x = 231,400,123.97
  5. Step 5: Solve for x
    x = 231,400,123.97/17,525.64
  6. Step 6: Final answer
    x = 13,203.52

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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.