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Finding the Fourth Proportional to 17,849, 26,765.68 and 9,527.12

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Solution

The fourth proportional to 17,849, 26,765.68 and 9,527.12 is: 14,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,849 : 26,765.68 = 9,527.12 : x
  2. Step 2: Convert to fraction form
    17,849/26,765.68 = 9,527.12/x
  3. Step 3: Cross multiply
    17,849x = 26,765.68 × 9,527.12
  4. Step 4: Simplify right side
    17,849x = 254,999,845.24
  5. Step 5: Solve for x
    x = 254,999,845.24/17,849
  6. Step 6: Final answer
    x = 14,286.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.