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Finding the Fourth Proportional to 17,526.95, 24,186.84 and 9,569.24

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Solution

The fourth proportional to 17,526.95, 24,186.84 and 9,569.24 is: 13,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.95 : 24,186.84 = 9,569.24 : x
  2. Step 2: Convert to fraction form
    17,526.95/24,186.84 = 9,569.24/x
  3. Step 3: Cross multiply
    17,526.95x = 24,186.84 × 9,569.24
  4. Step 4: Simplify right side
    17,526.95x = 231,449,610.68
  5. Step 5: Solve for x
    x = 231,449,610.68/17,526.95
  6. Step 6: Final answer
    x = 13,205.36

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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.