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Finding the Fourth Proportional to 17,526.15, 24,185.16 and 9,568.23

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Solution

The fourth proportional to 17,526.15, 24,185.16 and 9,568.23 is: 13,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.15 : 24,185.16 = 9,568.23 : x
  2. Step 2: Convert to fraction form
    17,526.15/24,185.16 = 9,568.23/x
  3. Step 3: Cross multiply
    17,526.15x = 24,185.16 × 9,568.23
  4. Step 4: Simplify right side
    17,526.15x = 231,409,173.47
  5. Step 5: Solve for x
    x = 231,409,173.47/17,526.15
  6. Step 6: Final answer
    x = 13,203.65

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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.