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Finding the Fourth Proportional to 17,749.42, 24,493.80 and 9,792.40

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Solution

The fourth proportional to 17,749.42, 24,493.80 and 9,792.40 is: 13,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,749.42 : 24,493.80 = 9,792.40 : x
  2. Step 2: Convert to fraction form
    17,749.42/24,493.80 = 9,792.40/x
  3. Step 3: Cross multiply
    17,749.42x = 24,493.80 × 9,792.40
  4. Step 4: Simplify right side
    17,749.42x = 239,853,087.12
  5. Step 5: Solve for x
    x = 239,853,087.12/17,749.42
  6. Step 6: Final answer
    x = 13,513.29

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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.