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Finding the Fourth Proportional to 17,526.74, 24,186.78 and 9,568.96

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Solution

The fourth proportional to 17,526.74, 24,186.78 and 9,568.96 is: 13,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.74 : 24,186.78 = 9,568.96 : x
  2. Step 2: Convert to fraction form
    17,526.74/24,186.78 = 9,568.96/x
  3. Step 3: Cross multiply
    17,526.74x = 24,186.78 × 9,568.96
  4. Step 4: Simplify right side
    17,526.74x = 231,442,330.35
  5. Step 5: Solve for x
    x = 231,442,330.35/17,526.74
  6. Step 6: Final answer
    x = 13,205.10

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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.