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Finding the Fourth Proportional to 17,526.32, 24,186.52 and 9,568.64

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Solution

The fourth proportional to 17,526.32, 24,186.52 and 9,568.64 is: 13,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.32 : 24,186.52 = 9,568.64 : x
  2. Step 2: Convert to fraction form
    17,526.32/24,186.52 = 9,568.64/x
  3. Step 3: Cross multiply
    17,526.32x = 24,186.52 × 9,568.64
  4. Step 4: Simplify right side
    17,526.32x = 231,432,102.73
  5. Step 5: Solve for x
    x = 231,432,102.73/17,526.32
  6. Step 6: Final answer
    x = 13,204.83

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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.