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Finding the Fourth Proportional to 17,707.42, 24,435.33 and 9,748.09

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Solution

The fourth proportional to 17,707.42, 24,435.33 and 9,748.09 is: 13,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.42 : 24,435.33 = 9,748.09 : x
  2. Step 2: Convert to fraction form
    17,707.42/24,435.33 = 9,748.09/x
  3. Step 3: Cross multiply
    17,707.42x = 24,435.33 × 9,748.09
  4. Step 4: Simplify right side
    17,707.42x = 238,197,796.02
  5. Step 5: Solve for x
    x = 238,197,796.02/17,707.42
  6. Step 6: Final answer
    x = 13,451.86

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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.